Question

What is the volume of a sphere with a radius of 6in? Round to the nearest hundredth. Remember V = 4/3πr3 * 20 points 457.86 inches cubed 394.56 inches cubed 904.78 inches cubed 807.78 inches cubed

Answer 1

Given:

The radius of the sphere is 6 in.

To find:

The volume of the sphere.

Solution:

We know that, the volume of a sphere is

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

Where, r is the radius of the sphere.

Putting r=6, we get

$V=\dfrac{4}{3}\pi (6)^3$

$V=\dfrac{4}{3}\pi (216)$

$V=288\pi$

$V\approx 904.78$

The volume of the sphere is 904.78 inches cubed.

Therefore, the correct option is C.