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What is the diameter of a hemisphere with a volume of 2233\text{ cm}^3,2233 cm 3 , to the nearest tenth of a centimeter?

1 Answer

5 votes

Answer:

The diameter of the hemisphere is 20.4 centimeters.

Explanation:

The volume of an hemisphere is given by:


V = (2 \pi r^(3))/(3)

In this problem, we have that:


V = 2233

So


(2 \pi r^(3))/(3) = 2233


2\pi r^(3) = 3*2233


r^(3) = (3*2233)/(2\pi)


r = \sqrt[3]{(3*2233)/(2\pi)}


r = 10.2

The radius is 10.2 centimeters.

The diameter is double the radius. So:

2*10.2 = 20.4

The diameter of the hemisphere is 20.4 centimeters.

User Ben Kemp
by
8.7k points

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