Question

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

Explanation:

Step1: Recall the volume formula of a sphere

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

Step2: Substitute the radius value

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

Step3: Calculate the numerical value

Take \(\pi\approx3.14159\). Then \(V=\frac{500}{3}\times3.14159\).
\(\frac{500\times3.14159}{3}=\frac{1570.795}{3}\approx523.5983\).

Answer:

\(523.60\)