Question

what is the volume of this sphere? round your answer to the nearest hundredth. 36.8 in cubic inches submit

Explanation:

Step1: Find the radius

The diameter is 36.8 in, so radius $r = \frac{36.8}{2} = 18.4$ in.

Step2: Use volume formula for sphere

Volume $V = \frac{4}{3}\pi r^3$. Substitute $r = 18.4$:
$V = \frac{4}{3} \times \pi \times (18.4)^3$.

Step3: Calculate and round

$(18.4)^3 = 18.4 \times 18.4 \times 18.4 = 6229.504$
$V = \frac{4}{3} \times \pi \times 6229.504 \approx 26094.14$

Answer:

26094.14 cubic inches