Question

Which of the 2 figures below has the lesser volume?

Answer 1

The sphere

Explanation:

The formula for the volume of a cone is V = 1/3 Bh while the formula for the volume of a sphere is V = 4/3 πr³

Cone

V = 1/3 (πr²)h

V = 1/3 (4²)π(7)

V = 1/3 (16π)(7)

V = 1/3 (112π)

V = 37 1/3π

Sphere

V = 4/3 πr³

V = 4/3 π (2³)

V = 4/3 (8)π

V = 32/3 π