Question

a sphere has a diameter of 12 ft. what is the volume of the sphere? give the exact value in terms of π.

□πft³

Explanation:

Step1: Find the radius

The radius \( r \) of a sphere is half of its diameter. Given diameter \( d = 12\) ft, so \( r=\frac{d}{2}=\frac{12}{2} = 6\) ft.

Step2: Use the volume formula for a sphere

The volume formula for a sphere is \( V=\frac{4}{3}\pi r^{3}\). Substitute \( r = 6\) into the formula:

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Answer:

\(288\)