Question

what is the volume of this sphere? round your answer to the nearest hundredth. sphere image with radius 5 m blank cubic meters submit

Explanation:

Step1: Write the formula for the volume of a sphere

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

Step2: Substitute the value of the radius into the formula

Given \( r = 5\) m. Substitute \( r = 5\) into the formula: \( V=\frac{4}{3}\pi(5)^{3}\).
First, calculate \(5^{3}=5\times5\times5 = 125\). Then the formula becomes \( V=\frac{4}{3}\pi\times125=\frac{500}{3}\pi\).

Step3: Calculate the numerical value

Using \( \pi\approx3.14159\), we have \( V=\frac{500}{3}\times3.14159\).
\( \frac{500}{3}\times3.14159=\frac{1570.795}{3}\approx523.5983\).

Answer:

\(523.60\)