Question

Please help


Find the volume of the sphere. Express your answer in terms of π.



13,500π in3


4,500π in3


67,500π in3


300π in3

Answer 1

Please consider the graph of the sphere.

We know that the volume of sphere is equal to $\frac{4}{3}\pi r^3$, where r represents radius of sphere.

We can see that diameter of sphere is 30 inches. We know that radius is half the diameter, so radius of the given sphere would be half of 30 inches that is $\frac{30}{2}=15$ inches.

$V=\frac{4}{3}\pi r^3$

$V=\frac{4}{3}\pi (15\text{ in})^3$

$V=\frac{4}{3}\pi \times 3375\text{ in}^3$

$V=4\times 1125\pi \text{ in}^3$

$V=4500\pi \text{ in}^3$

Therefore, the volume of the given sphere is $4500\pi\text{ in}^3$ and option B is the correct choice.