In order to have any chance of answering this question, you need to know the formulas for the area and volume of a sphere. In fact, I'll let you in on a secret: That's the whole purpose of this question ! Nobody actually needs to know the volume of this sphere ! And if they did, they wouldn't ask high-school students who are just learning this stuff. The REASON for this question is to help you find out whether you know the formulas for the area and volume of a sphere, and give you a chance to go back and review them if you don't remember them.
Here they are, for your edification:
==> Area of a sphere = 4 π (radius)²
==> Volume of a sphere = (4/3) π (radius)³
That's everything you need in order to answer the question. Here's how to use them:
-- The area of the sphere is 36π in²
Area of a sphere = 4 π (radius)²
36 π in² = 4 π (radius)²
Divide each side by 4π : 9 in² = (radius)² , so ==> radius = 3 inches.
Take that information, and use it in the volume formula: