What is the volume of a hemisphere with a diameter of 56.7 in, rounded to the nearest tenth of a cubic inch?

Question

asked Apr 7, 2023 56.5k views

1 Answer

Sergey Pleshakov · Answer 1 · 2023-04-12T14:33:21+0000

Answer:
V=47,721.9in^3

Explanation:

The volume of a hemisphere would be 1/2 of the volume of a sphere. The volume of a sphere is defined to be:

$V=(4)/(3) \pi r^3$

Therefore the volume of a hemisphere would be:

$V=(1)/(2)( (4)/(3) \pi r^3)=(2)/(3) \pi r^3$

Plug everything in:

$V=(2)/(3) \pi r^3=(2)/(3) \pi (28.35)^3=47,721.9in^3$