Question

what is the volume of this sphere? round your answer to the nearest hundredth. 32 in cubic inches

Explanation:

Step1: Find the radius

The diameter $d = 32$ in, and the radius $r=\frac{d}{2}=\frac{32}{2}=16$ in.

Step2: Use the volume formula

The volume formula for a sphere is $V = \frac{4}{3}\pi r^{3}$. Substitute $r = 16$ into the formula: $V=\frac{4}{3}\pi(16)^{3}=\frac{4}{3}\pi\times4096$.

Step3: Calculate the volume

$V=\frac{16384\pi}{3}\approx\frac{16384\times3.14159}{3}\approx\frac{51471.85}{3}\approx17157.28$ cubic - inches.

Answer:

$17157.28$