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find the volume of the hemisphere with a radius of 7 inches. Round your answer to the nearest tenth.

Respuesta :

Answer:

718 cubic inches

Step-by-step explanation:

The formula for a sphere is [tex]V=\frac{4}{3} \pi r^{3}[/tex]. A hemisphere is half this value. We will find the volume and then divide it in half. We substitute r=7 inches.

[tex]V=\frac{4}{3} \pi r^{3}\\V=\frac{4}{3} \pi (7^{3})\\V=\frac{4}{3} \pi (343)\\V=1,436 inches^3[/tex]

We divide 1,436 by 2 for the volume of a hemisphere. V= 718 cubic inches

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