Question

what is the volume of this sphere? round your answer to the nearest hundredth. 30.6 ft

Explanation:

Step1: Find radius of the sphere

The diameter is 30.6 ft, so radius $r = \frac{30.6}{2} = 15.3$ ft.

Step2: Apply volume formula for sphere

Volume formula: $V = \frac{4}{3}\pi r^3$. Substitute $r = 15.3$:
$V = \frac{4}{3}\pi (15.3)^3$
Calculate $15.3^3 = 15.3×15.3×15.3 = 3581.577$
$V = \frac{4}{3}×\pi×3581.577 ≈ 4×\pi×1193.859 ≈ 4775.436×3.1416 ≈ 15000.00$ (rounded to nearest hundredth)

Answer:

15000.00 cubic feet