Volume of Cylinders, Cones, and Spheres

Cylinder Volume

100

What is the approximate volume of a cylinder with a radius of 3 inches and a height of 7 inches?

197.9 in.³

200

What is the approximate volume of the cylinder with a radius of 2 feet and a height of 10 feet?

125.7 ft³

300

What is the approximate volume of a pipe that has a diameter of 8 cm and a height of 12 cm?

603.2 cm³

400

What is the approximate volume of a cylinder with a diameter of 6 meters and a height of 10 meters?

282.7 m³

500

A cylinder with a diameter of 3 inches and a height of 8 inches is filled half full with water. About how many cubic inches of water are in the cylinder?

28.3 in³

Cone Volume

100

What is the volume of the cone radius = 9 height = 6

508.9 units³

200

What is the volume of the cone? radius = 2 mm height = 60 mm

251.3 mm³

300

A snow cone is 18 cm across and 9 cm tall. What is the volume of the snow cone?

763.4 cm³

400

A funnel is 12 inches across and 18 inches tall. What is the volume of the funnel?

678.6 in³

500

An ice cream cone is 8 cm across and 14 cm tall. It was left in the sun, and 1/3 of the ice cream melted. What volume of ice cream is left?

78.2cm³

Sphere Volume

100

Find the volume of the sphere radius = 9

3053.6 units³

200

Find the volume of the sphere radius = 3

113.1 units³

300

A tennis ball measuring 5 inches across has what volume?

65.4 inches³

400

An exercise ball measuring 3.2 feet across has what volume of air?

17.2 ft³

500

A basketball measuring 12 inches across is cut in half. What is the volume?

452.4 in³

Mixed Questions

100

What is the definition of "Volume"

The amount of space something takes up

200

When calculating volume, what does the "r" stand for?

radius

300

If given the diameter of a circle, how do you find the radius?

Take half the diameter Multiply the diameter by 1/2 Divide the diameter by 2

400

Give the equation for finding the volume of a sphere

4/3πr³

500

Find the volume of a sphere topped by a cone with a radius of 5 and a height of 14.

890.1units³

Pythagorean theorem

100

In terms of a, b, and c, what is the Pythagorean Theorem?

a² + b² = c²

200

Use the Pythagorean theorem a² + b² = c² to find the missing LEG for the triangle with a=6 and c=10.

Use the Pythagorean theorem a² + b² = c² to find the missing LEG for the triangle with a=6 and c=10.

300

Use the Pythagorean theorem a² + b² = c² to find the missing hypotenuse for the triangle with legs 3 and 4 cm long.

5 cm

400

Use the Pythagorean theorem a² + b² = c² to find the missing hypotenuse for the triangle whose legs are 12 and 16.

20

500

What must be true about your triangle in order to use the Pythagorean Theorem?

It must be a right triangle.