Question

what is the volume of a sphere with a radius of 6.3 cm, rounded to the nearest tenth of a cubic centimeter?

Explanation:

Step1: Recall 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 given radius into the formula

Given \(r = 6.3\) cm. Then \(V=\frac{4}{3}\pi(6.3)^{3}\).
First, calculate \((6.3)^{3}=6.3\times6.3\times6.3 = 250.047\).
Then \(V=\frac{4}{3}\pi\times250.047\).
\(\frac{4}{3}\times250.047=333.396\).
So \(V = 333.396\pi\).
Using \(\pi\approx3.14159\), we have \(V\approx333.396\times3.14159\).
\(V\approx1047.4\)

Answer:

\(1047.4\) cubic centimeters