Question

what is the volume of this sphere? round your answer to the nearest hundredth. 3 mm cubic millimeters

Explanation:

Step1: Recall volume formula for sphere

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

Step2: Identify the radius value

The radius $r = 3$ mm.

Step3: Substitute radius into formula

$V=\frac{4}{3}\pi(3)^{3}=\frac{4}{3}\pi\times27 = 36\pi$.

Step4: Calculate and round

$V\approx36\times3.14159 = 113.09724$. Rounding to the nearest hundredth, $V\approx113.10$ $mm^{3}$.

Answer:

$113.10$