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Find the volume of the sphere with a diameter of 6 inches. Leave the answer in terms of pie.

2 Answers

2 votes

Answer:

36π

Explanation:

Volume = 4/3πr³

V=4/3π(3)³

V= 36π

User One Monkey
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8.1k points
2 votes

Answer:

36π in³

Explanation:

The volume of a sphere is:


\displaystyle{V = (4)/(3)\pi r^3}

where r represents the radius. We are given the diameter of 6 inches, and a half of a diameter is the radius. Hence, 6/2 = 3 inches which is our radius. Therefore,


\displaystyle{V = (4)/(3)\pi \cdot 3^3}\\\\\displaystyle{V=4\pi \cdot 3^2}\\\\\displaystyle{V=4\pi \cdot 9}\\\\\displaystyle{V=36 \pi \ \ \text{in}^3}

Hence, the volume is 36π in³

User Zarat
by
8.8k points

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