A sphere and a cylinder have the same radius and height. The volume of the cylinder is 18 cm

What is the volume of the sphere?

Answers

Answer 1

Answer:

12 cm³

Step-by-step explanation:

the volume of the sphere = 4/3 πr³

the volume of the cylinder (h=2r)= πr².2r

= 2πr³

the volume ratio of S : C =

4/3 πr³ : 2 πr³

= 4/3 : 2

= 4 : 6

= 2 : 3

so, the volume of the Sphere =

2/3 × 18 = 12 cm³

Answer 2

Answer:

Solution given:

radius [r]=height[h]

volume of cylinder=πr²h

18cm³=πr³

again

volume of sphere

=4/3 πr³

=4/3*18=24cm³

the volume of the sphere:24cm³


Related Questions

Yesterday, there were 60 problems assigned for math homework. Albert did 30% of them correctly. How many problems did Albert get right?

Answers

Take 60/100 x 30 =ans

The base length of a triangle is 4 feet and the height is 2 feet. What is the area of the triangle? (5 points) a 2 square feet b 4 square feet c 6 square feet d 8 square feet

Answers

Answer:

B. 4 square feet

Step-by-step explanation:

The formula for area of a triangle is length x height / 2 so 4 x 2 is 8 then divided by 2 is 4.

Answer: 4

Base 4

hight 2

4x2=8 ÷ 2 or 1/2 Equals 4

Formula L x W ÷ 2 or 1/2

Make an equation that is equal to 2/3

Answers

Answer:

Replace the 4 with a 3 to make the equation true

8/12 you can put 8 in the first box and make 8 times 1 = 8 and make the second box 12 the 8 in the first box would be put over 1 so it can multiply. When rounded down you are left with 2/3

girlcome 5324611502
p:1234​

Answers

Answer:

ok then

Step-by-step explanation:

Answer:

Subscribe to my animations Y0UTUBE channel! Channel name: Let Me Explain Studios. Have a nice day!

Step-by-step explanation:


1. María expandió el siguiente cuadrado de la manera que sigue: (x+3)2 = x² + 9,
¿Está correcta la forma que usó María?

Answers

Answer:

La expansión de María

[tex](x + 3) {}^{2} = x {}^{2} + 9[/tex]

Correcta expansión

[tex](x + 3) {}^{2} \\ = {x}^{2} + 2 \times x \times 3 + 3 {}^{2} \\ = x {}^{2} + 6x + 9[/tex]

Note - (a + b)² = a² + 2ab + b²

La expansión de Mary está mal. Correcta expansión + 6x + 9

ʰᵒᵖᵉ ⁱᵗ ʰᵉˡᵖˢ

# ꧁❣ RainbowSalt2²2² ࿐

helpp!! last question :( A. (4, 1) B. (4, -1) C. (-4, -4) D. (-4, 1)

Answers

The correct answer is (4, 0)

Answer:

A

Choice A point is just above (4,-1) by an increase of y by 2

A government agency estimates the number of young adults (ages 18 to 24) in a particular country to be 31,000 (in thousands) in 2010 and changing at the rate of −x2 + 90x − 200 thousand per year, where x is the number of years since 2010. Find a formula for the size of this population at any time x. [Hint: Keep all calculations in units of thousands.]

Answers

Answer:

[tex]\mathbf{L(x)= ( - \dfrac{1}{3})x^3 + 45x^2 -200x +31000}[/tex]

Step-by-step explanation:

From the given information:

Let assume the population is denoted by L

The rate of change of the young adults per year given  can be represented as;

[tex]\dfrac{dL}{dx}= -x^2 +90x - 200[/tex]

where;

x = 0 since 2010

[tex]dL = -x^2 +90x -200 dx[/tex]

[tex]L = \int( -x^2 +90x -200 ) \ dx[/tex]

[tex]L = - \dfrac{1}{3}x^3 + 45x^2 -200x +C[/tex]

here;

L(0) = 31000

[tex]- \dfrac{1}{3}(0)^3 + 45(0)^2 -200(0)+C= 31000[/tex]

C = 31000

[tex]\mathbf{L(x)= ( - \dfrac{1}{3})x^3 + 45x^2 -200x +31000}[/tex]

A rain jacket that usually costs r dollars is available at a discount. Drag and drop two
expressions to show the correct price of the rain jacket in the spaces provided.
10.2r
0.3r
0.4r
0.5r
(0.6r
0.8r
The price of the rain jacket after a 20% discount:
The price of the rain jacket after a 40% discount:

Answers

The price of the rain jacket after a 20% discount will be 0.2r and the price of the rain jacket after a 40% discount will be 0.4r.

What is the percentage?

The quantity of anything is stated as though it were a fraction of a hundred. A quarter of 100 can be used to express the ratio. Per 100 is what the term percent signifies. The symbol 'percent' is used to symbolize it.

A rain jacket that usually costs r dollars is available at a discount.

Drag and drop two expressions to show the correct price of the rain jacket in the spaces provided.

The price of the rain jacket after a 20% discount will be

→ 0.2r

The price of the rain jacket after a 40% discount will be

→ 0.4r

More about the percentage link is given below.

https://brainly.com/question/8011401

#SPJ1

Matt can plant 27 trees in 3 hours. At that
rate, how many trees can Matt plant in an
8 hour day?

Answers

Answer:

72 trees.

Step-by-step explanation:

27 divided by 3 equals 9. so that means Matt can plant 9 trees in one hour so 9 is our unit rate ( what we multiply by) so now you multiply 9 by 8 and your answer is 72

Write the equation of the line in slope-intercept form.

Answers

Answer:

y = 50x+40

Step-by-step explanation:

Slope intercept form is

y = mx+b where m is the slope and b is the y intercept

First find two points on the line

(0,40) and (2 ,140)

The slope is

m= (y2-y1)/(x2-x1)

   = (140-40)/(2-0) = 100/2= 50

The y intercept is where it crosses the y axis which is 40

y = 50x+40

Given f (x) = StartLayout Enlarged left-brace first row x squared minus one-third x, for x not-equals negative 1 second row negative 1, for x = negative 1 EndLayout. What is Limit of f (x) as x approaches negative 1?

Negative five-thirds
Negative four-thirds
Four-thirds
Five-thirds

Answers

Answer:

It's C, 4/3! Just did the question and got it right

Step-by-step explanation:

The limit of f(x) as x approaches negative 1 is four thirds.

What is Limits?

Limits are defined as the value of a function as the input approaches a certain number. Limits are the concepts used essentially in calculus to define continuity, integrals and derivatives.

Given function is,

[tex]f(x) =\left \{ {{x^{2} -\frac{1}{3}x, x\neq -1 } \atop {-1, x=-1}} \right.[/tex]

We have to find the value of the limit as x approaches to negative 1.

This is not the same value as the value of the function at negative 1. Limit of the function as x approaches some value is the value of the function which is closest to the exact value of the function at the input.

We have,

f(x) = x² - [tex]\frac{1}{3}[/tex] x when x ≠ -1

Substitute x = -1 in the above equation

x² - [tex]\frac{1}{3}[/tex] x  = (-1)² - (1 / 3) (-1)

            = 1 + [tex]\frac{1}{3}[/tex]

            =  [tex]\frac{4}{3}[/tex]

[tex]\lim_{x \to -1} x^{2} -\frac{x}{3}[/tex] = [tex]\frac{4}{3}[/tex]

Hence the limit of f(x) = x² - [tex]\frac{1}{3}[/tex] x when x tends to -1 is 4/3.

To learn more about Limits, click on the link given below :

https://brainly.com/question/12207539

#SPJ2

Determine the area of the triangle.

Answers

Answer:

no triangle given try to use a = 1/2(b x h) for the area

Step-by-step explanation:

What is the common ratio between successive terms in the sequence?
2, 4, 8, -16, 32, -64,
Ο Ο Ο Ο
2

Answers

Step-by-step explanation:

[tex]r = \frac{4}{2} \\ r = 2[/tex]

Answer:

-2

Step-by-step explanation:

The "common ratio" is the number you multiply a term by to get the next term.

-4 = 2 x -2

8 = -4 x -2

-16 = 8 x -2

A farmer sells 8.2kg of apples and pears at the farmers market. 4/5 of this weight is apples and the rest is pears. How many kg of pears did she sell at the market?

Answers

9514 1404 393

Answer:

  1.64 kg of pears

Step-by-step explanation:

If 4/5 of the weight is apples, the remaining 1/5 is pears.

  (1/5)(8.2 kg) = 1.64 kg

She sold 1.64 kg of pears.

Answer:

Solution :-

Weight of pears = 1 - Weight of apple

=> 1 - 4/5

=> 5 - 4/5

=> 1/5

Now

Weight of pears = ⅕ × 8.2

Weight of pears = 1.64 kg

[tex] \\ [/tex]

What is the additive inverse of 36?​

Answers

Answer:

The additive inverse of 36 is −36.

Step-by-step explanation:

Answer:

-36.

Step-by-step explanation:

Additive inverses are basically the opposite of the number, for example, since 36 in this case was positive you need to make it negative.

A garden table and a bench cost $672 combined. The garden table costs $78 less than the bench. What is the cost of the bench?

Answers

Answer:

b = $375

Step-by-step explanation:

b = cost of the bench

t = cost of the table

t = b - 78

b + b - 78 = 672

2b = 750

b = $375

Help pls this is 5th grade math

Answers

Answer:

2 is scalene

3 is right

4 is right

5 is equalatirel

6 is scalene

7 is isocoles

8 is equalatirel

9 is right

Step-by-step explanation:

Answer:

2: scalene

3: right

4: right

5: equilateral

6: scalene

7: isosceles

8: equilateral

9: right

Step-by-step explanation:

2: A scalene triangle has no congruent sides

3: A right triangle has a 90 degree angle

4: A right triangle has a 90 degree angle

5: An equilateral triangle has 3 congruent sides

6: A scalene triangle has no congruent sides

7: An isosceles triangle has 2 congruent sides

8: An equilateral triangle has 3 congruent sides

9: A right triangle has a 90 degree angle

The most economical proportion for a right circular cone is to have its height three times long as its base diameter. What lateral area of the cone would produce a volume of 100m^3.

Answers

9514 1404 393

Answer:

  ∛(2500π)√37 m² ≈ 120.911 m²

Step-by-step explanation:

If the height is 3 times the diameter, it is 6 times the radius. Then the volume is ...

  V = 1/3πr²h

  V = 1/3πr²(6r) = 2πr³

For a volume of 100 m³, the radius is ...

  100 m³ = 2πr³

  r = ∛(50/π) m

The lateral area of the cone is computed from the slant height. For this cone, the slant height is found using the Pythagorean theorem:

  s² = r² +(6r)² = 37r²

  s = r√37

Then the lateral area is ...

  LA = πrs

  LA = π(∛(50/π) m)(∛(50/π) m)√37

  LA = ∛(2500π)√37 m² ≈ 120.911 m²

The lateral area of the economical cone with a volume of 100 m³ is 120.911 m².

What is the lateral area of the cone?

The lateral area of the cone is the curved area of the cone, therefore, the total area of the cone is without the base area.

As we know that the volume of the cone is given by the formula,

[tex]V = \dfrac{1}{3}\pi r^2h[/tex]

Now, for the right circular cone to be economical, the height must be 3 times the diameter or it should be 6 times the radius. Therefore, the economical volume can be written as,

 [tex]V = \dfrac{1}{3}\pi r^2h\\\\V = \dfrac{1}{3}\pi r^2(6r)[/tex]

Now, if cancel out the 3 in the remainder with the six in the numerator, the volume of the cone can be written as,

[tex]V = 2\pi r^3[/tex]

Further, we need to calculate the lateral area of the cone, whose volume is 100 m³. Now, in order to get the radius of the economic cone with the volume of 100 m³, substitute it with 2πr³,

[tex]V = 2\pi r^3\\\\100 = 2\pi r^3\\\\r = 2.5154\rm\ m[/tex]

We know that in order to calculate the lateral area of the cone we need to calculate the slant height. Thus, according to the Pythagorean theorem, the slant height can be written as

[tex]s^2 = r^2 +(6r)^2\\\\ s^2 = 37r^2\\\\ s = r\sqrt{37}[/tex]

Now, the lateral area of the economical cone with the volume of 100 m³ can be written as,

[tex]LA = \pi rs\\\\LA = \pi \times r \times r\sqrt{37}\\\\LA = \pi \times r^2 \times \sqrt{37}\\\\LA = \pi \times (2.5154)^2 \times \sqrt{37}\\\\LA = 120.911\rm\ m^2[/tex]

Hence, the lateral area of the economical cone with a volume of 100 m³ is 120.911 m².

Learn more about the Lateral Area of the Cone:

https://brainly.com/question/12267785

What is the length of BD?

Answers

Answer:

From -6 to positive 1 the length is 7

Step-by-step explanation:

you still add'em.

Answer:

length of BD is 18

just count on the number line and ×2 because it is counting on by 2

Identify the percent of change as an increase or decrease. $24 to $18​

Answers

Answer:

Step-by-step explanation:

$24-$18

-6$

it is decrease

so,

decrease %=$6/$24*100

=600/24

=25%

Answer:

its a decrease of 25%

Step-by-step explanation:

1/4 of 24 is 6 and if you subtract 6 from 24 its 18 and 1/4 is 0.25 so its 25%.

plz plz plz plz help me​

Answers

Answer:

240 plants

Step-by-step explanation:

Find the area of the garden:

A = 1/2bhA = 1/2(8)(15) = 60 m²

Number of plants:

60*4 = 240 plants

Answer:

Solution given:

perpendicular [P]=15m

base[B]=8m

hypotenuse [H]=17m

rate :4 plants per square metre

no of plants=?

we have

Area of triangular garden: ½(P*B)=½(15*8)=60m²

Now

Total no of plants =rate ×Area =4×60=240

Michael needs 240 plants in the garden.

Khloe is thinking of a number that is 2 times the value of Carl's number. Khloe's number is also 2 more than 4 times the value of Carl's number. What is Khloe's number?

Answers

0 = 2c +2.

Subtracting 2 from both sides, we get

0-2 = 2c +2 -2

-2 = 2c

Dividing both sides by 2, we get

-2/2 = 2c/2

-1 =c.

Plugging c=-1 in first equation,

k=2(-1) = -2.

So the answer is -2.

If Sofia randomly picks a number from 1 to 25, what is the probability that the number will have “1” as one of the digits?

Answers

12/25 is your answer

Given that ABCD is an inscribed quadrilateral and m(∠DAB)=78°. What is m (DAB)

Answers

Answer:

Step-by-step explanation:

I'm going to go out on a limb here and guess that you are looking for the answer to the measure of arc DAB, since we already know that angle DAB is 78. Angle DAB is an inscribed angle. That inscribed angle intercepts arc DCB, and the theorem for that is that an inscribed angle is half the measure of the arc it intercepts. That means that arc DCB measures twice 78, so arc DCB measures 156 degrees. Since the measure around the outside of any circle is 360 degrees, arc DAB is 360 - 156 which is 204 degrees. If this is not what you are looking for, sorry and be more specific next time.

Tyrone is building a skateboard ramp with a piece of plywood that is 33 feet long.He wants the height of the ramp to be 22 feet.To make a strong ramp, the base must form a right angle with the back of the ramp.What will be the length of the base rounded to the nearest tenth of a foot?

please hurry and and please show your work!!

Answers

Answer:

24.6 ft

Step-by-step explanation:

Use the Pythagorean theorem.

a^2 + b^2 = c^2

a^2 + (22 ft)^2 = (33 ft)^2

a^2 + 484 ft^2 = 1089 ft^2

a^2 = 605 ft^2

a = 24.6 ft

Answer: 24.6 ft

Find each quotient.

494 ÷ 95 =


136.8 ÷ 24 =


96.9 ÷ 19 =


43.2 ÷ 8 =

Answers

Answer:

1. 5.2

2. 5.7

3. 5.1

4. 5.425 or 5.4

Step-by-step explanation:

hope this helps :)

Answer:

1. 5.2

2. 5.7

3. 5.1

4. 5.4

Step-by-step explanation:

you can use the app photo math, you just take a picture of the problem and it will give you the answer and explain the steps.

Which of the following functions has a vertical asymptote at x=3?

Answers

Answer:

the last one: f(x) = 1/(x-3)

Step-by-step explanation:

Vertical asymptote at x=3 means dividing by zero for x=3. If you examine all denominators with x=3, you find that the last one divides by zero (3-3).

Determine the length of CD.

Question 13 options:

A)

10.77 units

B)

3.74 units

C)

6.32 units

D)

9.17 units

Answers

Answer:

The answer is 6.32

Step-by-step explanation:

According to the Altitude Geometric Mean Theorem, the length of the altitude of a triangle is the geometric mean of the lengths of the 2 segments is divides the hypotenuse into.

CD= Altitude

CD^2= 4 times 10

or

CD= The square root of 4 times 10

Square root of 4 times 10 is 6.3245553203

Two figures are known as similar figures if there the corresponding angles are equal and the corresponding sider is in ratio. The length of CD is 6.32 units. The correct option is C.

What are Similar figures?

Two figures are known as similar figures if there the corresponding angles are equal and the corresponding sider is in ratio. It is denoted by the symbol "~".

In ΔBDC and ΔABC, the two angles are given,

∠D = ∠C = 90°

∠B = ∠B {Common}

Therefore, the two triangles are similar triangles, thus, the ratio of the sides can be written as,

CB / AB = CD / AC = DB / CB

Now, the ratio can be solved as,

CB / AB = DB / CB

CB / 14 = 10 / CB

CB² = 14 × 10

CB = √140

Further, in triangle ABC using the Pythagorean theorem, we can write,

AB² = CB² + AC²

14² = (√140)² + AC²

196 - 140 = AC²

AC = √56

Again, using the ratio of the similar triangle, we can write,

CD / AC = DB / CB

CD / √56 = 10 / √140

CD = (√56 × 10)/√140

CD = 6.32 units

Hence,  the length of CD is 6.32 units.

Learn more about Similar Figures:

https://brainly.com/question/11315705

#SPJ5

What is the answer to this equation 4y+3y+2y=

Answers

4y + 3y + 2y = 9y

9y is the answer

Plz mark me brainliest

answer is 100% correct

brainliestt
for righto

Answers

Answer:

Hello! answer: 13/16

Hope that helps!

Other Questions
Please help I really neeeeeed this Solve the inequality 3x - 5 < 4.x < 3x > 3x < 1/3x > 1/3 Which shows all the factor pairs of 27? help me pls im stuck Set up the equations to determine s and t. What is 36 1/2 of 146? Can i get some help hear please help me !! this diagram is not to scale. Mary is shopping in Joe's Hardware Store when a nail gun in use by Oscar, one of the store's employees, fires without warning and hits Mary in the leg. Joe checks the gun and discovers that it was assembled improperly. Mary files a suit against Nail Gun, Inc., the maker of the gun, on the ground of strict product liability. What are the elements for an action based on strict product liability g On January 1, 2019 FirstEnergy Corp issued 19,000 shares of $100 par, 8%, cumulative, preferred stock for $110 per share. No dividends have been paid to preferred or common shareholders. What amount of dividends will a preferred shareholder owning 100 shares receive in 2021 if FirstEnergy pays $1,000,000 in dividends When you press on a circular table of radius 0.5 m, with a force of 20N, what will be exerted pressure?50pa25pa40N/m10N.mAnswer and I will give you brainiliest What is the momentum of a lab cart with a mass of 0.60 [kg] and a speed of 2.2 [m/s]?-3.67 [kg m/s)-0.27 [kg m/s]-1.32 [kg m/s)-0.82 [kg m/s) mga salik ng kanlurang asya I'm kinda stuck, can anyone help?? Please :) I need an explanation Which of the following is an appropriate care step for a child or infant with a heat-related emergency, like heat cramps?A) Apply sunscreen on the skin to guard against the sun.B) Get the child or infant out of the heat and into a cooler place.C) Have the child or infant drink a lot of water very fast.D) Put more layers of clothing on the child or infant to guard against the heat. A student began a proof of the law of sines using triangle xyz. His work is shown. The student has ____ started the proof. The next step in the proof is to ____. Then the student should _____. which law protect citizebs from human rights violation you should refrain from running or playing on wet and smooth surfaces after a dip in the following swimming pool. Math riddle!A small number of cards has been lost from a complete pack. If I deal among four people, three cards remain. If I deal among three people, two remain and if I deal among five people, two cards remain. How many cards are there? Can someone please tell me what this is a shaved for the first time and I dont know what the red stuff is and I dont know if there are any ingrown hairs there is hairs there but I dont know if they are ingrown also how long will it take for this to go away this is my leg btw