Volume of Cones, Pyramids, and Spheres

Front

What is the formula for the volume of a sphere?

Back

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

Front

What is the formula for the volume of a cone?

Back

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

Front

What is the formula for the volume of a pyramid?

Back

V = \frac{1}{3} B h, where B is the area of the base.

Front

If a sphere has a radius of 3 inches, what is its volume?

Back

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

Front

What is the volume of a cone with a radius of 2 inches and a height of 5 inches?

Back

V = \frac{1}{3} \pi (2)^2 (5) = \frac{20}{3}\pi \approx 20.94 in^3

Front

How do you calculate the volume of a cylinder?

Back

V = \pi r^2 h

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 the volume of the cylinder.

Front

If a pyramid has a base area of 10 cm² and a height of 4 cm, what is its volume?

Back

V = \frac{1}{3} (10)(4) = \frac{40}{3} cm^3 \approx 13.33 cm^3

Front

What is the volume of a sphere with a radius of 5 inches?

Back

V = \frac{4}{3} \pi (5)^3 = \frac{500}{3}\pi \approx 523.6 in^3

Front

What is the volume of a cone with a radius of 3 inches and a height of 6 inches?

Back

V = \frac{1}{3} \pi (3)^2 (6) = 18\pi \approx 56.55 in^3