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what is the volume of this sphere? round your answer to the nearest hun…

Question

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

Explanation:

Step1: Identify radius

The diameter is 36 yd, so radius $r = \frac{36}{2} = 18$ yd.

Step2: Apply volume formula

Volume of sphere: $V = \frac{4}{3}\pi r^3$
Substitute $r=18$: $V = \frac{4}{3}\pi (18)^3$

Step3: Calculate value

$18^3 = 5832$, so $V = \frac{4}{3}\pi \times 5832 = 7776\pi$
$7776\pi \approx 7776 \times 3.14159265 \approx 24429.02$

Answer:

24429.02 cubic yards