Question

what is the volume of this sphere? round your answer to the nearest hundredth. 10 cm cubic centimeters submit

Explanation:

Step1: Find the radius

The diameter of the sphere is \(d = 10\space cm\). The radius \(r=\frac{d}{2}\), so \(r=\frac{10}{2}=5\space cm\).

Step2: Use the volume formula for a sphere

The volume formula of a sphere is \(V=\frac{4}{3}\pi r^{3}\). Substitute \(r = 5\) into the formula: \(V=\frac{4}{3}\pi(5)^{3}\).
First, calculate \(5^{3}=5\times5\times5 = 125\). Then \(V=\frac{4}{3}\pi\times125=\frac{500\pi}{3}\).
Using \(\pi\approx3.14159\), we have \(V=\frac{500\times3.14159}{3}\).
\(500\times3.14159 = 1570.795\), and \(\frac{1570.795}{3}\approx523.5983\).

Answer:

\(523.60\)