Volume of Cylinders, Cones, and Spheres

Cylinder Volume

100

What is the volume of a cylinder radius = 3 inches height = 7 inches

63π in³, approx.=197.9 in³

200

What is the volume of the cylinder radius = 2 feet height = 10 feet

40π ft³, approx.=125.7

300

What is the volume of a pipe that has a radius of 4 cm  and a height of 12 cm?

192π cm³, approx.=603.2 cm³

400

What is the volume of a bean can that is 6 meters across and 10 meters high?

90π m³, approx.=282.7 m³

500

A cup that is 4 inches across and 8 inches tall is filled halfway full with water. What is the volume of the water?

16π in³, approx.=50.3 in³

Cone Volume

100

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

162π units³, approx.=508.9 units³

200

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

80π mm³, =251.3 mm³

300

A snow cone has a radius of 9 cm and a height of 9 cm. What is the volume of the snow cone?

243π cm³=763.4cm³

400

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

216π in³=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?

24.9π cm³=78.2 cm³

Sphere Volume

100

Find the volume of the sphere radius = 9

972π units³=3053.6 units³

200

Find the volume of the sphere radius = 3

36π units³=113.1 units³

300

A tennis ball with a radius of 2.5 inches has what volume?

20.8π inches³=65.3 in³

400

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

5.5π ft³=17.3 ft³

500

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

144π in³=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

In the volume formula of a cylinder, what does πr² represent?

The area of the base!

500

Write down all three volume formulas (cylinder, cone, and sphere) Must have all three correct to earn points!

Cylinder: V=π r^2 h

Cone: V=(1/3)π r^2h

Sphere: V=(4/3)π r^3

Bonus

100

How tall is Mrs. Ortell?

I will take either 6' or 6'1

200

What is Mrs. Ortell's husband's first name?

Noah

300

What is Mrs. Ortell's dog's name? (hint: it's a type of flower)

Rosie <3

400

What video game has Mrs. Ortell been playing recently?

Animal Crossing :)

500

What is Mrs. Ortell's favorite show of all time?

Avatar the Last Airbender (I <3 iroh)