Question

Please help

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.