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Find the volume of the sphere.

Either enter an exact answer in terms of \piπpi or use 3.143.143, point, 14 for \piπpi and round your final answer to the nearest hundredth.

the radius is 8

User JBoothUA
by
5.4k points

2 Answers

3 votes

Answer:

2250

Explanation:

User Tim Supinie
by
4.6k points
4 votes

Question:

Find the volume of the sphere.

Either enter an exact answer in terms of π or use 3.14 for π and round your final answer to the nearest hundredth.

The radius is 8

Answer:


Volume = (2048)/(3) \pi in terms of π


Volume = 2143.57 to nearest hundredth

Explanation:

Given

Radius, r = 8

Required

Find the volume of sphere

Volume of a sphere is calculated using the following formula


V = (4)/(3) \pi r^(3)

Where V = Volume and r = radius

By Substitution,


V = (4)/(3) \pi r^(3) becomes


V = (4)/(3) \pi * 8^(3)


V = (4)/(3) \pi * 512


V = (2048)/(3) \pi in terms of π

Solving further to get the numerical value of volume;

We have to substitute 3.14 for π


V = (2048)/(3) \pi becomes


V = (2048)/(3) * 3.14


V = 2143.573333


V = 2143.57 to nearest hundredth

User Nathan Lachenmyer
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4.6k points