Volume of Cylinders, Cones, and Spheres

Front

What is the formula for the volume of a sphere?

Back

V = \frac{4}{3} \pi r^3

Front

How do you calculate the volume of a cone?

Back

V = \frac{1}{3} \pi r^2 h

Front

What is the formula for the volume of a cylinder?

Back

V = \pi r^2 h

Front

If the radius of a sphere is 3 cm, what is its volume?

Back

V = \frac{4}{3} \pi (3)^3 = 36\pi \approx 113.1 cm³

Front

What is the volume of a cylinder with a radius of 5 cm and height of 10 cm?

Back

V = \pi (5)^2 (10) = 250\pi \approx 785.4 cm³

Front

How do you find the volume of a cylinder?

Back

Multiply the area of the base (circle) by the height: V = \pi r^2 h

Front

What is the volume of a cone with a radius of 4 cm and height of 9 cm?

Back

V = \frac{1}{3} \pi (4)^2 (9) = 48\pi \approx 150.8 cm³

Front

If a cone has a volume of 150.72 cm³, what could be its height if the radius is 3 cm?

Back

V = \frac{1}{3} \pi (3)^2 h; h = \frac{150.72 \times 3}{\pi (9)} \approx 16.0 cm

Front

What is the volume of a cylinder with a diameter of 20 feet and height of 3 feet?

Back

V = \pi (10)^2 (3) = 300\pi \approx 942 cubic feet

Front

What is the relationship between the volume of a cone and a cylinder with the same base and height?

Back

The volume of the cone is one-third that of the cylinder.