Question

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your answer is incorrect.
the radius, r, of a sphere is 5 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=□m³

Explanation:

Step1: Recall the formula for the volume of a sphere

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

Step2: Substitute the given radius into the formula

Given \( R = 5\) m and \( \pi=3.14\), we substitute into the formula: \( V=\frac{4}{3}\times3.14\times5^{3}\).
First, calculate \( 5^{3}=5\times5\times5 = 125\).
Then, \( \frac{4}{3}\times3.14\times125=\frac{4\times3.14\times125}{3}\).
\( 4\times3.14\times125=(4\times125)\times3.14 = 500\times3.14=1570\).
So, \( V=\frac{1570}{3}\approx523.3\) \(m^{3}\).

Answer:

\(523.3\) \(m^{3}\)