Question

the diameter, d, of a sphere is 21.2 m. calculate the spheres volume, v.
use the value 3.14 for π, and round your answer to the nearest tenth. (do not round any intermediate computations.)
v = □ m ³

Explanation:

Step1: Find the radius

The radius \( r=\frac{D}{2} \). Given \( D = 21.2\) m, so \( r=\frac{21.2}{2}=10.6\) m.

Step2: Use the volume formula for a sphere

The volume formula for a sphere is \( V=\frac{4}{3}\pi r^{3}\). Substitute \( r = 10.6\) m and \(\pi=3.14\) into the formula.

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Step3: Round to the nearest tenth

Rounding \(4991.058133\cdots\) to the nearest tenth gives \(4991.1\).

Answer:

\(4991.1\)