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------------------------------------------------ What is the volume of a hemisphere with a radius of 39.4 ft, rounded to the nearest tenth of a cubic foot?

A. 15,858.8 cubic ft
B. 15,858.7 cubic ft
C. 7,930.5 cubic ft
D. 7,930.4 cubic ft

The volume of a hemisphere with radius 39.4 ft is calculated using the formula 2/3πr³, which gives approximately 258969 cubic ft. The proposed answers in the question are all incorrect.

Explanation:

The volume of a hemisphere is given by the formula 2/3πr³, where r is the radius of the hemisphere. In this case, the radius is 39.4ft so the volume V is calculated as follows:

V = 2/3 * π * (39.4ft)³ = 258969.0 cubic ft.

Calculate the volume:

Volume ≈ (2/3)π(39.4 ft)(39.4 ft)(39.4 ft) ≈ 51524.6 cubic feet (rounded to the nearest tenth).

So, the volume of the hemisphere is approximately 51524.6 cubic feet when rounded to the nearest tenth of a cubic foot.

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