You are designing a dome house in the shape of a hemisphere with a 38 ft outside diameter. Find the volume, which is needed to calculate the heat pump size. A) 21,500 ft ³ B) 14,600 ft ³ C) 14,300 ft ³ D) 14,400 ft ³ E) 14,100 ft ³

Question

Quizplus · Accepted Answer

The formula to find the volume of a hemisphere is V = (2/3)πr^3, where r is the radius.

Given the diameter of the dome house is 38 ft, the radius is 38/2 = 19 ft.

Substituting the values in the formula:

V = (2/3)π(19^3) = 14,400 ft^3

Therefore, the correct choice is D.

You Are Designing a Dome House in the Shape of a Hemisphere