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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.
78 ft
cubic feet

Explanation:

Step1: Find the radius

The diameter is 78 ft, so radius $r = \frac{78}{2} = 39$ ft.

Step2: Apply volume formula for sphere

Volume formula: $V = \frac{4}{3}\pi r^3$. Substitute $r = 39$:
$V = \frac{4}{3}\pi (39)^3$

Step3: Calculate the value

$39^3 = 39×39×39 = 59319$
$V = \frac{4}{3}\pi×59319 = 4×\pi×19773 = 79092\pi ≈ 79092×3.14159265 ≈ 248474.98$

Answer:

248474.98