Question

what is the volume of this sphere? round your answer to the nearest hundredth. 20 yd cubic yards

Explanation:

Step1: Find the radius

The diameter $d = 20$ yd, and the radius $r=\frac{d}{2}=\frac{20}{2}=10$ yd.

Step2: Apply the volume formula

The volume formula for a sphere is $V = \frac{4}{3}\pi r^{3}$. Substitute $r = 10$ into the formula: $V=\frac{4}{3}\pi(10)^{3}=\frac{4}{3}\pi\times1000=\frac{4000\pi}{3}$ cubic - yards.

Step3: Calculate and round

$V=\frac{4000\pi}{3}\approx\frac{4000\times3.14159}{3}\approx4188.79$ cubic yards.

Answer:

$4188.79$