Question

what is the volume of this sphere? round your answer to the nearest hundredth. 6 mm cubic millimeters

Explanation:

Step1: Recall volume formula

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

Step2: Substitute radius value

Given $r = 6$ mm, substitute into the formula: $V=\frac{4}{3}\pi(6)^{3}$.
First, calculate $(6)^{3}=6\times6\times6 = 216$. Then $V=\frac{4}{3}\pi\times216$.
$\frac{4}{3}\times216 = 4\times72=288$. So $V = 288\pi$.

Step3: Calculate and round

Using $\pi\approx3.14159$, $V\approx288\times3.14159 = 904.77892$.
Rounding to the nearest hundred - th, $V\approx904.78$ $mm^{3}$.

Answer:

$904.78$