Volume of cones, cylinders 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 find 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 a sphere has a radius of 5 cm, what is its volume?

Back

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

Front

A cone has a radius of 3 in. and a height of 4 in. What is its volume?

Back

V = \frac{1}{3} \pi (3)^2 (4) = 12\pi \approx 37.7 in^3

Front

What is the relationship between the radius and diameter of a sphere?

Back

Diameter = 2 \times Radius

Front

How does the volume of a cone compare to the volume of a cylinder with the same base and height?

Back

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

Front

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

Back

V = \pi (2)^2 (10) = 40\pi \approx 125.7 in^3

Front

What units are used to measure volume?

Back

Cubic units (e.g., cm^3, in^3, m^3) are used to measure volume.

Front

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

Back

The volume increases by a factor of 8.