Question

a globe of the moon has a radius of 10 inches. find the volume of the globe. round your answer to the nearest whole number
the volume of the globe is about □cubic inches.

Explanation:

Step1: Recall the formula for the volume of a sphere

The volume formula for 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 \(r = 10\) inches. Substitute \(r = 10\) into \(V=\frac{4}{3}\pi r^{3}\), we get \(V=\frac{4}{3}\pi(10)^{3}\).
First, calculate \((10)^{3}=10\times10\times10 = 1000\). Then \(V=\frac{4}{3}\pi\times1000=\frac{4000\pi}{3}\).

Step3: Calculate the numerical value

Using \(\pi\approx3.14\), then \(V=\frac{4000\times3.14}{3}=\frac{12560}{3}\approx4186.67\).

Answer:

\(4187\)