Question

What is the volume of a hemisphere with a diameter of 51.8 inches round to the nearest 10th of a cubic inch

Answer 1

36,388.0 in³

Explanation:

The volume of a sphere is usually expressed in terms of the radius as ...

V = (4/3)πr³

Here, we want the volume of 1/2 of a sphere, given the diameter. So, our volume will be ...

V = (1/2)(4/3)π(d/2)³ = (π/12)d³

For the given diameter, the hemisphere volume is ...

V = (π/12)(51.8 in)³ ≈ 36,388.0 in³