Free Printable Volume of Spheres Cylinders and COnes

1.

Emily needs to make party hats in the shape of a cone. She wants the hat to have a radius of 6 inches and a height of 15 inches. What is the volume of the party hat?

a)

565.2

b)

94.2

c)

2260.8

d)

188.4

2.

Determine the volume of the cone.

a)

125.6

b)

3768

c)

942

d)

251.2

3.

Determine the volume of the sphere.

a)

310181.76

b)

38772.72

c)

1846.32

d)

7385.28

4.

A jar of jam has a diameter of 6 cm and a height of 8 cm. If the jar is half full, then what is the volume of the jam in the jar?

a)

452.16

b)

904.32

c)

226.08

d)

113.04

5.

Joyce has a cone shaped planter hanging on her porch. The planter has a radius of 6.8 inches and a height of 12.2 inches. What is the total amount of soil the planter can hold?

a)

590.5

b)

1771.4

c)

145.2

d)

196.8

6.

What is this formula used to find?
V=πr²h

a)

The volume of a cylinder

b)

The volume of a cone

c)

The volume of a sphere

d)

The area of a circle

7.

What is this formula used to find?
V=1/3πr²h

a)

The volume of a cylinder

b)

The volume of a cone

c)

The volume of a sphere

d)

The area of a circle

8.

What is this formula used to find?
V=4/3πr³

a)

The volume of a cylinder

b)

The volume of a cone

c)

The volume of a sphere

d)

The area of a circle

9.

What is this formula used to find?
A=πr²

a)

The volume of a cylinder

b)

The volume of a cone

c)

The volume of a sphere

d)

The area of a circle

10.

Find the volume to the nearest hundredth using 3.14 instead of Pi.

a)

12.56 ft³

b)

37.68 ft³

c)

18.84 ft³

d)

6.28 ft³

11.

You have a globe that has a radius of 11 inches. Find the volume of your globe.

a)

523 in³

b)

16,717 in³

c)

5,575 in³

d)

7,235 in³

12.

Is the red line a radius or diameter of the circle?

a)

Radius

b)

Diameter

13.

Is the red line a radius or diameter of the circle?

a)

Radius

b)

Diameter

14.

What is the formula for the volume of a cylinder?

a)

V = (2πr²)h

b)

V = (πr²)h

c)

V = (πr)h

d)

V = (2πr)h

15.

What is the formula for the volume of a cone?

a)

V = 4/3(2πr²)h

b)

V = ⅓ (2π r²)h

c)

V = ⅓ (π r²)h

d)

V = 4/3(2πr²)h

16.

What is the formula for the volume of a sphere?

a)

V = 4/3(πr³)

b)

V = 4(πr²)

c)

V = 1/3(πr³)

d)

V = 4/(3πr)

17.

The formula for the volume of a...

a)

sphere

b)

cone

c)

cylinder

d)

cube

18.

Find the volume of the sphere. Round to the nearest tenth.

a)

$\frac{4}{3}\left(\pi\right)\left(12^3\right)$

b)

$\frac{1}{3}\left(\pi\right)\left(6^2\right)$

c)

$\frac{4}{3}\left(\pi\right)\left(6^3\right)$

d)

$\frac{4}{3}\left(\pi\right)\left(12^3\right)$

19.

v = ?

a)

$\frac{1}{3}\pi\left(8^2\right)8$

b)

$\frac{1}{3}\pi\left(16^2\right)8$

c)

$\frac{4}{3}\pi\left(16^2\right)8$

d)

$\frac{4}{3}\pi\left(8^3\right)8$

20.

Choir is selling Pringle Chips to raise money for a field trip. The container has a diameter of 9 inches and a height of 32 inches.

Which equation can be used to find the volume of the cylindrical container?

a)

V = π(9)

b)

V = $\pi\left(4.5^2\right)32$

c)

V = $\pi\left(9^2\right)32$

d)

V= $\frac{1}{3}\pi\left(4.5^2\right)32$

21.

A styrofoam model of a volcano is in the shape of a cone. The model has a circular base with a diameter of 48 centimeters and a height of 12 centimeters. Find the volume of foam in the model to the nearest tenth. Use 3.14 for π.

a)

$\frac{1}{3}\pi\left(48^2\right)12$

b)

$\frac{1}{3}\pi\left(24^2\right)12$

c)

$\frac{4}{3}\pi\left(24^2\right)12$

d)

$\frac{4}{3}\pi\left(48^2\right)12$

22.

Russell is filling a cylinder-shaped swimming pool that has a diameter of 20 feet. He fills it with water to a depth of 3 feet. What is the volume of the water in the pool, to the nearest cubic foot?

a)

$\frac{4}{3}\pi\left(10^3\right)$

b)

$\pi\left(10^2\right)3$

c)

$\frac{1}{3}\pi\left(20^2\right)3$

d)

$\pi\left(20^2\right)3$

23.

A ball of yarn has a diameter of 10.5 cm and a height of 13 cm. How would i find the volume of the figure?

a)

$\frac{4}{3}\pi\left(5.25^3\right)$

b)

$\frac{1}{3}\pi\left(10.5^3\right)$

c)

$\frac{1}{3}\pi\left(10.5^3\right)$

d)

$\frac{4}{3}\pi\left(5.25^3\right)$

24.

A ice cream scoop at Jenny's Sweet Treats is in the shape of a cone. 4 cylinders of ice cream with the same diameter and height need to be filled with ice cream. How many scoops will it take to fill the cylinders?

a)

4

b)

8

c)

12

d)

15

Volume of Spheres Cylinders and COnes

Total questions: 24

Worksheet time: 1hrs 2mins

Similar Resources on Wayground