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 of the sphere.

Step2: Identify radius value

The radius $r = 6$ mm.

Step3: Substitute radius into formula

$V=\frac{4}{3}\pi(6)^{3}=\frac{4}{3}\pi\times216 = 288\pi$.

Step4: Calculate and round

$V\approx288\times3.14159 = 904.77892\approx904.78$ (rounded to the nearest hundredth).

Answer:

$904.78$