Find the volume of a cylinder if it has a diameter of 8 and a height of 12. Leave your answer in terms of pi
A) 64 pi
B)192 pi
C) 256 pi
D)768 pi

Answers

Answer 1

Answer:

  B)  192 pi

Step-by-step explanation:

The volume of a cylinder is found from the formula ...

  V = πr²h

where the radius is r and the height is h. The radius is half the diameter.

__

  V = π(8/2)²(12) = 192π . . . . . . using the given values


Related Questions

5. Find the volume of the composite space figure to the nearest whole number. (1 point)
6 mm
9 mm
11 mum
Not drawn to scale
0416 mm³
0705 mm³
01.294 mm³
0944 mm³

Answers

Answer:

  (d)  944 mm³

Step-by-step explanation:

The volume of a prism is given by the formula ...

  V = Bh

where B is the area of the base, and h is the distance between bases.

__

base area

Here, the base of the prism is a rectangle with a semicircle on top. The circle has a diameter of 9 mm, so a radius of 4.5 mm. The area of the semicircle is ...

  A = 1/2πr² = 1/2π(4.5 mm)² ≈ 31.809 mm²

The area of the rectangle is the product of its length and width.

  A = LW = (9 mm)(6 mm) = 54 mm²

So, the total base area is ...

  31.809 mm² +54 mm² = 85.809 mm²

prism volume

The prism volume is this area multiplied by the length of the figure:

  V = Bh = (85.809 mm²)(11 mm) ≈ 944 mm³

The volume of the figure is about 944 mm³.

Gary's daily jogging track is 0.9 miles long. In how many days will she have covered a distance of 27 miles?​

Answers

Answer:

30 days.

Step-by-step explanation:

27 ÷ 0.9 = 30.

Answer:

in 30 days she will reach 27 miles.

Step-by-step explanation:

27 miles / 0.9 miles = 30 days

Answer the volume based Question. I will make uh brainliest + 50 points​

Answers

Answer:

see explanation

Step-by-step explanation:

(a)

the volume (V) of the cylinder is calculated as

V = πr²h ( r is the radius and h the height ) , then

V = π × a² × 2a = 2a³π

(b)

the volume of the prism is calculated as

V = Ah ( A is the cross- sectional area and h the height ) , then

a²b = 2a³π ( divide both sides by a² )

b = 2πa

I need help in 13 & 14 :((

Answers

Answer:

C and J

Step-by-step explanation:

Guys please help me I'll give more points to whoever is corretc

What is the area of this figure?

Answers

the area i got is 157 km^2

Which ratio is the same as
2/3

Answers

Answer:

8/12

Step-by-step explanation:

The race begins at a rate of 1.5 meter per second. What distance, d, is covered after t seconds?
Slope: y-intercept:
Equation:

Answers

The distance that would be covered after t seconds = 1.5t meters

Calculation of distance

The speed of the race=distance/time =1.5m/s

The time given = t seconds

The distance (d) = ?

From the formula of speed = distance/time, make distance the subject of formula,

distance (d) = speed×time

= 1.5×t

= 1.5t meters

Therefore, the distance covered is 1.5t meters after t seconds.

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what 6+6+6+6+6+6=----------------------------


Mark brainiest

Answers

Answer:

36

Step-by-step explanation:

calculate the 6+the Other 6 together

Answer:

36

6 + 6 + 6 + 6 + 6 + 6 is the same as saying 6 × 6, because you are adding 6 to itself 6 times, which gives you 36.

PLSS HELP ME WITH THIS 20 POINTSS!! The graph below shows a proportional relationship between 2 and 4. What is the constant of proportional y/x

Answers

Answer:

3.5.

Step-by-step explanation:

Y = kx   where k is the slope of the line

k = y/x

The slope 3/5/1 = 3.5

y/x = 3.5.

You buy milk at $2.48 per gallon. One portion of oatmeal requires 4 ounces of milk. How much does the milk for one portion cost?

Answers

Answer:

$0.01

Step-by-step explanation:

Convert gallons to ounces:

0.03125 Gallons of milk per serving

0.03125/2.48=0.0126008

Simplify:

0.01.

One portion costs 1 cent.

Answer: .0775 per portion of oatmeal
Assume rounding to $0.08

$2.48/ 128 ounces (1 gallon) = .019375 per ounce x 4 ounces

Based on a sample of 20 people, the sample mean GPA was 3.25 with a standard deviation of 0.02

The test statistic is:
(to 2 decimals)

The critical value is:
(to 2 decimals)

Answers

Using the t-distribution, it is found that:

The test statistic is t = -11.18.The critical value is [tex]t^{\ast} = \pm 2.093[/tex].

What are the hypotheses tested?

At the null hypothesis, it is tested if the mean GPA of the students is of 3.3, that is:

[tex]H_0: \mu = 3.3[/tex]

At the alternative hypothesis, it is tested if the mean GPA is different than 3.3, hence:

[tex]H_1: \mu \neq 3.3[/tex].

What is the test statistic?

The test statistic is given by:

[tex]t = \frac{\overline{x} - \mu}{\frac{s}{\sqrt{n}}}[/tex]

The parameters are:

[tex]\overline{x}[/tex] is the sample mean.[tex]\mu[/tex] is the value tested at the null hypothesis.s is the standard deviation of the sample.n is the sample size.

The values of the parameters are given as follows:

[tex]\overline{x} = 3.25, \mu = 3.3, s = 0.02, n = 20[/tex]

Hence, the test statistic is given by:

[tex]t = \frac{\overline{x} - \mu}{\frac{s}{\sqrt{n}}}[/tex]

[tex]t = \frac{3.25 - 3.3}{\frac{0.02}{\sqrt{20}}}[/tex]

t = -11.18.

We are testing if the mean is different of a value, hence we have a two-tailed test, with 20 - 1 = 19 df and a standard significance level of 0.05, hence, using a t-distribution calculator, the critical value is [tex]t^{\ast} = \pm 2.093[/tex].

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y = 3
3y + 78 + 6y + 13​

Answers

Step-by-step explanation:

the thing you need to do here is put the value of x and just simply the expression.....

= 3y + 78 + 6y + 13

= 3 × 3 + 78 + 6 × 3 + 13

= 9 + 78 + 18 + 13

= 118

[tex]....[/tex]

Answer:

3×3+78+6×3÷13

9+78+18÷13

88.38

Step-by-step explanation:

i m not sure if it's correct since i didn't follow tye bodmas rule properly and it was bit tricky and it comes in decimal so not sure if it's correct

What is the answer to E= mc^2

Answers

Answer:

E = energy (measured in joules)m = mass (measured in kilograms)c = the speed of light (186,300 miles per second, or 3 x 108 ms-1

Step-by-step explanation:

Someone help ASAP please !! I’ll vote Brainliest !

Answers

Answer:

2nd row

Step-by-step explanation:

The y-intercept corresponds to the ordered pair having an x-value of 0. The second row of the table has an x-value of 0, and y-value of 2. Therefore, the y-intercept is (0, 2).

PLEASE ANSWER DUE TODAY
Given JAM and segment PB such that PB JM, what is the missing justification in the proof that JP/PA = MB/BA

Answers

Answer:

B. AA similarity postulate

A training field is formed by joining a rectangle and two semicircles, as shown below. The rectangle is 86m long and 64m wide. Find the area of the training field. Use the value 3.14 for π, and do not round your answer. Be sure to include the correct unit in your answer.

Answers

The area of the training field is 5606.48 m².

What is area?

Area can be defined as the region bounded by a plane shape.

To calculate the area of the training field, we use the formula below.

Formula:

A = lw+π(w/2)².................. Equation 1

Where:

A = Area of the training fieldl = Length of the training fieldw = width of the training fieldπ = pie

From the question,

Given:

l = 86 mw = 64 m

Substitute these values into equation 1

A = (86×64)+[3.14×(64/2)²]A = 5504+100.48A = 5604.48 m²

Hence, the area of the training field is 5606.48 m².

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Calculate the median of 4.6, 3, 8.1, 9, 12, 3, 9, 3.5 ,7 ,3?

Answers

Check the picture below.

Which is not a reason an athlete uses technology to assess performance?
A. To monitor development.
B. To tailor to their training program.
C. To send to college recruiters.
D. To analyze technique.

Answers

Answer:

the surface of the teachers table measures 1.5 m by 1m what is its surface area

I need to solve for X

Answers

Answer:

x = 10.5

Step-by-step explanation:

Intersecting chord theorem : If two chords intersect within a circle then the product of the measures of the segemnts made up of the chords are equal to each other.
For more reference to this, kindly view the attatched image.

Applying this theorem we would create an equation which would be 2 × x = 7 × 3

We then solve for x

2 × x = 7 × 3

==> simplify both sides

2x = 21

==> divide both sides by 2

x = 10.5

Carmella and Carmen simultaneously left the city and drove 120 km to a nearby town. Carmella drove at a speed that was 20 km/hr faster than Carmen. If Carmella arrived in the nearby town 1 hour before Carmen, find the speed that each of them drove.

Answers

[tex]\large{\underline{\underline{\pmb{\sf{\color{yellow}{Answer:}}}}}}[/tex]

Speed of Carmen = 40km/h

and speed of Carmella = 60km/h

Step-by-step explanation:

Let the speed of Carmen = x km/h

Carmella speed will be (x + 20)km/h

Distance = 120 km

Time between Carmen and Carmella = 1 hour

[tex] \sf Time= \frac{distance}{speed} [/tex]

Let the time taken by Carmen be T1

and Carmella be T2

[tex] \sf So \: T_1 = \frac{120}{x} \: and \: T_2 = \frac{120}{x + 20} [/tex]

As there is 1 hour difference so

[tex] \sf T_2 - T_1 = \: 1 hour \\ \\ \\ \sf \implies \frac{120}{x } - \frac{120}{x + 20} = 1 \\ \\ \\ \sf \implies \frac{120(x + 20) - 120x}{x(x + 20)} = 1 \\ \\ \\ \sf \implies 120x + 2400 - 120x = {x}^{2} + 20x \\ \\ \\ \sf \implies 2400 = {x}^{2} + 20x \\ \\ \\ \sf \implies 0 = {x}^{2} + 20x - 2400 \\ \\ \\ \sf \implies 0 = {x}^{2} + 60x - 40x - 2400 \\ \\ \\ \sf \implies0 = x(x + 60) - 40(x + 60) \\ \\ \\ \sf \implies 0 = (x + 60)(x - 40) \\ \\ \\ \sf \implies \red{\boxed{x = 40km}}[/tex]

We have not considered 60 as it will become negative value and negative value is not possible in distance

Speed of Carmen = 40km/h

Speed of Carmella = 40 + 20 = 60km/h

The volume of a cylinder is 1225π cm. The height of the cylinder is 25 cm. What is the radius of the​ cylinder?

Answers

Answer:

Volume of cylinder = pi r^2 h

1225 pi = pi×r^2×25

r^2= 1225/25=49

so, r= 7 cm

Solve each equation and check your answer.

1. 2 x + 4 ( 3 − 2 x ) = 3 ( 2 x + 2 ) 6 + 4
2. 4 z + 5 = - 3 z − 8
3. 1 2 − 1 8 q = q − 1 4

Please answer correctly, will choose brainliest.

Answers

1. X= -2/3

2. X= -13/7

3. q= 26/19

NO LINKS!!! For each table, tell whether represents a linear, exponential, inverse, or no relationship. Write an equation each table(if possible).​

Answers

        Answer:

    [tex]\large\boxed{\sf inverse \ variation}[/tex]

           [tex]\sf \large\boxed{\sf xy = 12}[/tex]

      Explanation:

The coordinates are given in the table. Plot the points and draw a smooth curve on the graph. Identify the type of curve it forms.

After identification, it looks like a inverse graph.

Constant variable:

1 × 12 = 122 × 6 = 123 × 4 = 124 × 3 = 126 × 2 = 12

Inverse variation: xy = a   [a is constant]

Equation: xy = 12 or y = 12/x

Answers:

This is an Inverse variation

The equation is y = 12/x which is the same as saying xy = 12

======================================================

Explanation:  

Notice that for each column, the x & y values multiply to 12.

1*12 = 122*6 = 123*4 = 124*3 = 126*2 = 128*1.5 = 1210*1.2 = 1212*1 = 12

This tells us that x*y = 12 which rearranges to y = 12/x

All inverse variation equations are of the form y = k/x which is equivalent to xy = k.

As x increases, y decreases, and vice versa.

Bill walks 4 miles east, 5 miles north, and 7 miles west. How many miles is he, in a direct line, from his starting point?

Answers

Answer:

  5.83 miles

Step-by-step explanation:

Bill's net distance west of his starting point is -4+7 = 3 miles. His net distance north of his starting point is 5 miles. The straight-line distance will be the hypotenuse of a right triangle with legs 3 miles and 5 miles. That distance is given by the Pythagorean theorem:

  d² = (3 mi)² +(5 mi)² = 34 mi²

  d = √34 mi ≈ 5.83 mi

Bill is 5.83 miles on a direct line from his starting point.

_____

The attached calculator screenshot shows the sum of the travel distances. The angles are bearings measured clockwise from north. The angle of the sum indicates Bill is about 31° west of north relative to his starting point.


Farmer keeps 64 goats. He keeps 5 times as many cows as goats. How many cows does
keep?

Answers

Answer: 320
Ex: 64 X 5 = 320
64 x 5 =320 because if they are 5 times as many cows you just multiply the goats by 5

Keep Moving! Read each problem and then, solve
1. What is the probability that you get a white chip from a box with 1 black chip, 1 white chip, and 1 red chip?
2. What is the probability that you get an 8 when you are rolling a number cube? 3. From a letter cube (A, B, C, D, E, and F), what is the probability that a B is on top when you roll the cube?
4. Mila and 3 other applicants apply for a job. What is the probability that Mila gets hired?​

Answers

The probabilities of cases 1, 2, 3, and 4 will be 1/3, 5/36, 1/6, and 1/4 respectively.

What is probability?

Its simple notion is that something will most likely occur. The favorable event's proportion to the overall number of occurrences.

The probability is given as

P = Favorable event / Total event

1.  The probability that you get a white chip from a box with 1 black chip, 1 white chip, and 1 red chip will be

P = 1/3

2.  The probability that you get an 8 when you are rolling a number cube will be  

P = 5/36

3.  From a letter cube (A, B, C, D, E, and F), Then the probability that a B is on top when you roll the cube will be

P = 1/6

4.  Mila and 3 other applicants apply for a job. Then the probability that Mila gets hired will be

P = 1/4

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Which of the following does NOT contribute to global warming?
A. Oil
B. Gas
C. Nuclear power
D. Coal

Answers

Answer:

(C) Nuclear power

Explanation:

It does not produce green house gas

PLSS HELP ME WITH THIS! 20 POINTSS!

Answers

Answer:

c

Step-by-step explanation:

The dot plot shows the number of hours, to the nearest
hour, that a sample of 5th- and 7th-grade students
spend watching television each week. How do the
medians compare?
The 5th-grade range is
The 7th-grade range is
The ratio of variation of 5th grade to 7th grade is

Answers

Answer:

6 medians.

Step-by-step explanation:

because the medians of 5 and 7 is 6.

What is the approximate area of the shaded sector in the circle shown below?
100°
c
18 cm
O A. 31.4 cm2 O B. 565 cm O C. 15.7 cm O D. 283 cm2

Answers

Answer:

C

Step-by-step explanation:

Formula to get the area

A = r^2π

A = 16^2π

A= 804.24 cm^2

As per the given data, the approximate area of the shaded sector is 283 square cm, which is option D.

What is area?

Area is a measure of the amount of space inside a two-dimensional shape or a flat surface. It is typically measured in square units, such as square meters or square feet.

To find the area of the shaded sector, we need to first find the area of the whole circle, and then multiply it by the fraction of the circle that is shaded.

The area of a circle is given by the formula:

A = [tex]\pi r^2[/tex]

Where r is the radius of the circle. In this case, we are given that the radius of the circle is 18 cm, so we can substitute this value into the formula:

A = [tex]\pi 18^2[/tex]

A = 324π

So, the area of the whole circle is 324π square cm.

The shaded sector has a central angle of 100 degrees, which is a fraction of the total central angle of 360 degrees. So, the fraction of the circle that is shaded is:

100° / 360° = 5/18

Therefore, the area of the shaded sector is:

A = (5/18) * 324π

A = 90π

Using 3.14 as an approximation for π, we get:

A ≈ 90 * 3.14

A ≈ 283

Thus, the approximate area of the shaded sector is 283 square cm, which is option D.

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