Question

what is the volume of this sphere? round your answer to the nearest hundredth. 38 in cubic inches submit

Explanation:

Step1: Find sphere radius

The given value is diameter $d=38$ in, so $r=\frac{38}{2}=19$ in.

Step2: Apply volume formula

The volume of a sphere is $V=\frac{4}{3}\pi r^3$. Substitute $r=19$:
$V=\frac{4}{3}\pi (19)^3 = \frac{4}{3}\pi \times 6859$

Step3: Compute and round

Calculate the value: $\frac{4\times6859}{3}\pi=\frac{27436}{3}\pi\approx 9145.333\times3.1416\approx28731.55$

Answer:

$28731.55$ cubic inches