Question

what is the volume of this sphere? round your answer to the nearest hundredth. 6.6 yd cubic yards

Explanation:

Step1: Recall volume formula

The volume formula for a sphere is $V = \frac{4}{3}\pi r^{3}$. The radius $r$ is half of the diameter. Given diameter $d = 6.6$ yd, so $r=\frac{6.6}{2}=3.3$ yd.

Step2: Substitute radius into formula

$V=\frac{4}{3}\pi(3.3)^{3}$. First, calculate $(3.3)^{3}=3.3\times3.3\times3.3 = 35.937$. Then, $V=\frac{4}{3}\pi\times35.937$.

Step3: Calculate the volume

$V=\frac{4\times35.937\pi}{3}=\frac{143.748\pi}{3}\approx\frac{143.748\times3.14159}{3}$. $143.748\times3.14159 = 450.6947$. Then $\frac{450.6947}{3}\approx150.23$ cubic yards.

Answer:

$150.23$