Question

what is the volume of this sphere? round your answer to the nearest hundredth. 30 yd cubic yards

Explanation:

Step1: Recall volume formula

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

Step2: Determine the radius

The diameter $d = 30$ yd, and the radius $r=\frac{d}{2}=\frac{30}{2}=15$ yd.

Step3: Calculate the volume

Substitute $r = 15$ into the formula: $V=\frac{4}{3}\pi(15)^{3}=\frac{4}{3}\pi\times3375 = 4500\pi$.

Step4: Round the answer

$V\approx4500\times 3.14159 = 14137.169\approx14137.17$ cubic yards.

Answer:

$14137.17$