What is the volume of a hemisphere with a diameter of 8.6 ft, rounded to the nearest tenth of a cubic foot?

166.52 cubic feet.

Step-by-step explanation:

We can Know the volume of a by using the expression below

V =[ (4/3)πr^3] eqn(1)

Given Diameter= 8.6 ft

radius= Diameter/ 2 = (8.6 ft)/2 = 4.3 ft

Eqn(1) gives the formula for volume of a WHOLE sphere, but what we need is

HALF of whole sphere, then we have

V =[ (4/3)πr^3] / 2

Then eqn(1) becomes [ (2/3)πr^3]

Volume of hemisphere

= [ (2/3)πr^3]eqn(2)

If we substitute into eqn(2) we have

Radius= 4.3 ft

V(hemisphere) = (2/3)π(4.3)^3

= 166.52 cubic feet.

Hence, the volume of a hemisphere is

166.52 cubic feet.