Note: Figure is not drawn to scale.

If h = 7 units and r = 3 units, then what is the volume of the cone shown above?

Note: Figure Is Not Drawn To Scale.If H = 7 Units And R = 3 Units, Then What Is The Volume Of The Cone

Answers

Answer 1
Given:-

Height of cone = 7 unitsRadius of cone = 3 units

To find:

Volume of Cone

We know:-

[tex] \bigstar \boxed{ \rm Volume \: of \: Cone = \frac{1}{3} \pi {r}^{2} h}[/tex]

[tex] \\ \\ [/tex]

So:-

[tex] \leadsto\sf Volume \: of \: Cone = \dfrac{1}{3} \pi {r}^{2} h[/tex]

[tex] \\ \\ [/tex]

[tex] \leadsto\sf Volume \: of \: Cone = \dfrac{1}{3} \times \pi \times {3}^{2} \times 7 \\ [/tex]

[tex] \\ \\ [/tex]

[tex] \leadsto\sf Volume \: of \: Cone = \dfrac{1}{3} \times \pi \times 3 \times 3 \times 7 \\ [/tex]

[tex] \\ \\ [/tex]

[tex] \leadsto\sf Volume \: of \: Cone = \dfrac{1}{\cancel3} \times \pi \times \cancel3 \times 3 \times 7 \\ [/tex]

[tex] \\ \\ [/tex]

[tex] \leadsto\sf Volume \: of \: Cone =\pi \times 3 \times 7 \\ [/tex]

[tex] \\ \\ [/tex]

[tex] \leadsto\sf Volume \: of \: Cone =\pi \times 21\\ [/tex]

[tex] \\ \\ [/tex]

[tex] \leadsto\bf Volume \: of \: Cone = 21\pi[/tex]

[tex] \\ \\ [/tex]

Therefore option C is correct.

Answer 2

The Volume of the cone is 21π cubic units

The volume of a cone

The formula for calculating the volume of a cone is expressed as:

V = 1/3πr²h

where:

r is the radius = 3 units

h is the height = 7units

The volume of the cone = 1/3π(3)²*7
Volume of the cone = 3π * 7

Volume of the cone = 21π cubic units

Hence the Volume of the cone is 21π cubic units

Learn more on volume of a cone here: https://brainly.com/question/1082469


Related Questions

Please help, find the area of only the shaded area.

Answers

Answer:

Area shaded ≈ 30.92

Area shaded in terms of π = 144 - 36π

Step-by-step explanation:

Square:

The length of this square is 4 * 3m, which is 12mThe area of the square : 12² = 144

Circle:

The area of one circle is 3²π = 9πThe area of 4 circles is 9π * 4 ≈113.08

Subtract:

144 - 113.0830.92

-Chetan K

what is the volume of the figure below
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Answer: is 28080

Step-by-step explanation:

Please just state if they are agasent, supplementary, or neither!!! I need nothing else!!!​

Answers

Step-by-step explanation:

1) supplementary

2) complementary

3) neither

4) neither

5) supplementary

6) complementary

7) supplementary

8) neither

9) complementary

Problem 1: Consider the (nonlinear) differential equation
[tex]y' = \frac{ - y(y + 1)}{x} [/tex]

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[tex]y(x) = \frac{2}{x - 2} [/tex]

That is: do not use the method of integrating factors to solve. Just check by plugging in.​

Answers

If y = x² - 1, then y + 1 = x² and y' = 2x. Then in the DE, we would have

2x = - (x² - 1) x² / x   ⇒   2 = - x² + 1

but this only true for some values of x. So the first choice is not correct.

If y = 2/(x - 2), then y + 1 = x/(x - 2) and y' = -2/(x - 2)². In the DE,

-2/(x - 2)² = - (2/(x - 2)) (x/(x - 2)) / x   ⇒   -2/(x - 2)² = -2/(x - 2)²

so the second choice is the correct answer.

What function is x=2 mapped to 32?

Answers

The correct answer is…… Yo Mum

What is the common ratio for the geometric sequence?

24,−6,32,−38,...



Enter your answer in the box.

Answers

-1/4 I think you meant to do fraction

which statement correctly explains the association of the scatterplot

Answers

Answer:

B. Since the y - values decrease as the x - values increase the scatter plots show a negative association.

Step-by-step explanation:

A positive association would be the y - values and the x - values both increases.

I hope this helps!

Find the product. Simplify your answer.
(q–4)(3q–1)

Multiplying Binomials

Answers

Answer:

3q^2-13q+4

Step-by-step explanation:

Answer:

3q^2-13q+4

Step-by-step explanation:

q (3q-1)-4 (3q-1)

3q^2-q-12q+4

3q^2-13q+4

A. 10 miles
B. 14 miles
C. 24 miles
D. 28 miles

Answers

C. 24 miles.

Add the 8 miles from the left side of the triangle, plus the 6 miles from the bottom and then use Pythagorean theorem to solve the hypotenuse which would be sqrt( 8^2 + 6^2)= 10. So 8+6+10=24 miles

Triangles ABC and YZX are similar. Use the measurements given in the image below to find the side length of ZX. In your answer, give the side length of ZX and explain how you calculated it. X А 25 Y 40 50 20 Z UD 60 C (100 points if it's correct)​

Answers

Answer:

ZX = 30 units

Step-by-step explanation:

Since the triangles are similar, the ratio of corresponding sides are same.

ZX is the largest side and corresponding side is BC = 60, the shortest sides are BC = 40 and YZ = 20:

ZX / 60 = 20/40ZX / 60 = 1/2ZX = 60/2ZX = 30
ZX/60=20/40ZX/60=1/2ZX=60/2ZX=30

Mattie Evans drove 200 miles in the same amount of time that it took a turbopropeller plane to travel 950 miles. The speed of the plane was 150 mph faster than th
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The speed of the plane was mph.
(Simplify your answer.)

Answers

Answer:

speed of the plane = 190 mph

Step-by-step explanation:

Let x = speed of the plane, then speed of the car = x - 150

time = 200/(x - 150) = 950/x

Divide by 50 on both sides, get

4/(x - 150) = 19/x

Cross multiply:

4x = 19(x - 150)

4x = 19x - 19*150

15x = 19*150

x = 19*150/15 = 190

A pail of water that holds 4 gallons (gal) needs to be filled with water from a swimming pool. How many times you will get a water from the pool using the a dipper that can hold 1 pint (pt) of water? (Use the conversion of 1 gal = 8 pt

Answers

Answer:

32 pints

Step-by-step explanation:

4 gallons * 8 pints/1 gallon = 32 pints

A football player runs 80 yards in 25 seconds. If he maintains the same rate of speed, how far could he run in 60 seconds?

Answers

Answer:

192 would be your answer.

I am a solid.
I have 6 vertices.
I have 5 faces.
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Answers

Answer:

  a triangular prism

Step-by-step explanation:

The 6 vertices are the vertices of the two triangular faces. The 3 rectangles join those to make a triangular prism.

A high school championship football game was attended by 1,580 fans. There were 640 were out-of-state fans at the game. The other fans who attended were local.


Which statement is TRUE when interpreting the ratio of out-of-state fans attending the game to the total number of fans attending? A) 32 out of every 79 fans attending were out-of-state fans B) 47 out of every 79 fans attending were out-of-state fans C) more than 47 out of every 79 fans attending were out-of-state fans D) at least 32 out of every 79 fans attending were out-of-state fans

Answers

Answer:

A)

Step-by-step explanation:

total number of fans = 1580out of state fans = 640local fans = total number of fans - out of state fans = 1580 - 640 = 940

ratio of out of state fans to total number of fans:

640 : 1580 = 640/1580 = 32/79

So 32 out of every 79 fans were out of state fans

Answer:

A) 32 out of every 79 fans attending were out-of-state fans

Step-by-step explanation:

640 were out-of-state fans :  1,580 fans in the game

32 were out-of-state fans : 79 fans in the game

✔A) 32 out of every 79 fans attending were out-of-state fans

B) 47 out of every 79 fans attending were out-of-state fans

C) more than 47 out of every 79 fans attending were out-of-state fans

D) at least 32 out of every 79 fans attending were out-of-state fans

How do you solve this? I know the formula is y=mx+b

Answers

Answer:

put it in the formula

Step-by-step explanation:

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Hope that helps! :)

7. Which of the following is the algebraic
representation for a translation 7 units left and
6 units up?

A. (x + 7, y - 6)
B. (x - 7, y + 6)
C. (x + 6, 7 - 7)
D. (x – 6, Y + 7)

Answers

Answer: The answer is B !

Step-by-step explanation:

The x axis is left so negative units will go left!

The y axis is up and down so positive units go up!

I’ve did the question my self and it worked and told me why the answer was correct!

Subscribe to Ishowspeed on yt!

You’re welcome lol

$10,574.40 rounded 2 decimal places

Answers

Answer:

$10,574.40

Step-by-step explanation:

$10,574.40 is already rounded to two decimal places. Rounding to two decimal places means rounding to the hundredths place.

please answer this as well

Answers

Answer:

85 km

Step-by-step explanation:

to find this answer you must use the pythagorean theorem

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so square the two sides that you have and thats the answer of the hypotenuse squared

68^2 + 51^2 = c^2

4624 + 2601 = 7225

then you must take 7225 to the square root

that is 85

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Answers

Answer:

90 degree rotation counterclockwise.

I think its right, BE SAFE! Hope it helps :3

Find the difference quotient of f

Answers

answer:

[tex]3\\[/tex]

explanation:

[tex]\frac{f(x+h)+f(x)}{h}[/tex]

[tex]\hookedrightarrow given.that .f(x) = 3x +h[/tex]

solve:

[tex]\frac{3\left(x+h\right)+5-\left(3x+5\right)}{h}[/tex]

[tex]\frac{3x+3h+5-3x-5}{h}[/tex]

[tex]\frac{3h}{h}[/tex]

[tex]3\\[/tex]

Which of the following number line graphs shows the solution set of 3|x| + 1 > 7?

Answers

Answer:

D

Step-by-step explanation:

When doing this problem remember that absolute value is a number's distance from zero, and distance is always positive. So, absolute value makes any number positive. This means that |±x| = x. To find the correct number graph, first solve the inequality.

3|x| + 1 > 7

Subtract 1 from both sides

3|x| > 6

Divide both sides by 3

|x| > 2

Then, we need to use absolute value. Any number with a distance from 0 greater than 2 fulfills this inequality. So, the number graph should represent -2 > x and x > 2. Additionally, because the inequality is looking for greater than but not equal to, the circles should be open.

You pick a card at random. Without putting the first card back, you pick a second card at random.

4
5
6
7


What is the probability of picking a 6 and then picking a 7?

Answers

1 because i want it to be 1

6. - - What is the sum of the measures of the interior angles of a convex polygon with n sides? A (n-2)90 C. (n-2)180 B. (n-2)120 D. (n-2)360 It is the sum of the measures of the interior angles of a heptagon. A 720° C. 1,080° B. 900° D. 1,260° 7​

Answers

Answer:

a 720

Step-by-step explanation:

because u use pemdas

When going to a field trip, how can you apply your understanding on percent?

Answers

Answer:

if you go to a gift shop,percents off prices of items? if you buy lunch there, and your school gives you how much of percent of your payment will go towards lunch? if your school gives you percent of what will go to each such as 5 percent will go to the bus 50 percent will go to your ticket?

how to solve for x in an equation like 12sin(30)=x
or am i doing that wrong too

Answers

Answer:

what type of triangle is this ?

Step-by-step explanation:

Line AC and line DB intersect at point P. Solve for angle BPQ.
To earn full credit for presenting and defending your mathematical solution, you must share the equation, show the steps to solving for the variable x, show the steps to solving for angle BPQ.

Answers

Answer:

Angle BPQ = 64°

Step-by-step explanation:

4x + 12 +2x = 90

6x + 12 = 90

     - 12    -12

6x = 78

x = 13°

BPQ = ((4(13) + 12)°

           (52 + 12)°

            64°

Anuja looked up how many goals her favorite soccer team has scored in each match over the past few
seasons.
The table below is a probability distribution Anuja created where X represents the number of goals the
team scored in a given match.
х
0
1
2
3
4
P(X) 0.191
0.319 0.287
0.128
0.074
Which graph correctly displays this probability distribution?

Answers

Probability distributions can be represented using tables and graphs

How to determine the graph

The probability table is given as:

x              0       1        2       3      4

P(x) -> 0.191 0.319 0.287 0.128 0.074

The above table means that:

P(0) = 0.191

P(1) = 0.319

P(2) = 0.287

P(3) = 0.128

P(4) = 0.074

Next, we check if the table represents a probability distribution using:

[tex]\sum P(x) = 1[/tex]

So, we have:

[tex]\sum P(x) = 0.191 + 0.319 + 0.287 + 0.128 + 0.074[/tex]

[tex]\sum P(x) = 1[/tex]

The graph is not given. So, I will plot the graph

See attachment for the figure that represents the probability distribution

Read more about probability distribution at:

https://brainly.com/question/15246027

Evaluate the given expression when x = 16 and y = 11.
x² - 3y + x
The answer is

Answers

Answer:

(16)2-3(11)+16

32-33+16

-1+16

=15

please answer with explanation​

Answers

Answer:

Step-by-step explanation:

area formula

Using diagonals:  A =  (d1 × d2) : 2

we use the inverse formula

A * 2 : d1

225 * 2 : 15 =

30cm

--------------------

check

15 * 30 : 2 = 225

the answer is good

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