Question

find the volume of the sphere. round your answer to the nearest tenth. the volume is about 33.5 × cubic feet.

Explanation:

Step1: Recall the formula for the volume of a sphere

The formula for the volume of a sphere is \(V=\frac{4}{3}\pi r^{3}\), where \(r\) is the radius of the sphere.

Step2: Substitute the given radius into the formula

Given \(r = 7\) ft. Substitute \(r=7\) into \(V=\frac{4}{3}\pi r^{3}\):

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Step3: Calculate the numerical value

Using \(\pi\approx3.14\), we have \(V=\frac{1372}{3}\times3.14\).

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Answer:

The volume is about \(1436.0\) cubic feet.