Question

what is the volume of this sphere? round to the nearest hundredth. r = 9.6 m v=3706.96m³ v=3705.97m³ v=3605.97m³ v=3705.91m³

Explanation:

Step1: Recall volume formula

The volume formula for a sphere is $V = \frac{4}{3}\pi r^{3}$.

Step2: Substitute radius value

Given $r = 9.6$ m, we substitute it into the formula: $V=\frac{4}{3}\pi(9.6)^{3}$.
First, calculate $(9.6)^{3}=9.6\times9.6\times9.6 = 884.736$.
Then, $V=\frac{4}{3}\pi\times884.736$.
$\frac{4}{3}\times884.736 = 1179.648$.
So $V = 1179.648\pi$.
Using $\pi\approx3.14159$, we have $V\approx1179.648\times3.14159$.
$V\approx3705.97$ $m^{3}$.

Answer:

D. $V = 3705.97m^{3}$