What is the diameter of a hemisphere with a volume of 73802 ft^3 to the nearest tenth of a foot?

375.4 ft

Step-by-step explanation:

Volume of sphere is given by

where is the radius

since hemisphere is half of sphere, its volume is half of volume of sphere

Volume of hemisphere is given by

Given volume of sphere is 73802 ft^3.

equating this value with formula for Volume of hemisphere, we have

Thus, radius of hemisphere is 187.679 ft

we know that diameter is twice of radius

therefore

diameter of hemisphere = 2*187.679 ft = 375.358 ft.

diameter of hemisphere to the nearest tenth of a foot= 375.4 ft