Question

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

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 \( r = 17.2\) yd. Then \( V=\frac{4}{3}\pi(17.2)^{3}\).
First, calculate \( (17.2)^{3}=17.2\times17.2\times17.2 = 5088.448\).
Then, \( V=\frac{4}{3}\times\pi\times5088.448\).
\( \frac{4}{3}\times5088.448 = 4\times1696.1493\approx6784.5973\).
So \( V\approx6784.5973\times\pi\).
Using \( \pi\approx3.14159265\), \( V\approx6784.5973\times3.14159265\approx21314.51\).

Answer:

\( 21314.51\)