Question

find the volume of the sphere. round your answer to the nearest tenth. 8 the volume is about cubic meters

Explanation:

Step1: Find the radius

Given the diameter \(d = 28\) m. The radius \(r=\frac{d}{2}\), so \(r=\frac{28}{2}=14\) m.

Step2: Use the volume formula for a sphere

The volume formula of a sphere is \(V=\frac{4}{3}\pi r^{3}\). Substitute \(r = 14\) into the formula:

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Step3: Calculate the numerical value

Using \(\pi\approx3.14\), we have \(V=\frac{10976}{3}\times3.14\approx\frac{10976\times3.14}{3}\).
\(10976\times3.14 = 10976\times(3 + 0.14)=10976\times3+10976\times0.14=32928+1536.64 = 34464.64\).
Then \(V=\frac{34464.64}{3}\approx11488.2\)

Answer:

\(11488.2\)