Volume of Cylinder, Cone, and Sphere

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 cylinder?

Back

V = \pi r^2 h

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 with a radius of 3 cm and a height of 5 cm?

Back

V = \frac{1}{3} \pi (3)^2 (5) = 15\pi \approx 47.12 cm^3

Front

How do you calculate the volume of a cylinder with a radius of 4 cm and a height of 10 cm?

Back

V = \pi (4)^2 (10) = 160\pi \approx 502.65 cm^3

Front

How do you calculate the volume of a sphere with a radius of 5 cm?

Back

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

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.

Front

If the radius of a sphere is doubled, how does its volume change?

Back

The volume increases by a factor of 8.

Front

What is the volume of a cone with a base radius of 2 m and a height of 3 m?

Back

V = \frac{1}{3} \pi (2)^2 (3) = \frac{12}{3}\pi = 4\pi \approx 12.57 m^3

Front

What is the volume of a cylinder with a base radius of 3 m and a height of 5 m?

Back

V = \pi (3)^2 (5) = 45\pi \approx 141.37 m^3