SOLUTION: Find the volume of a sphere with a great circle area of 201.06 square inches

Algebra ->  Surface-area -> SOLUTION: Find the volume of a sphere with a great circle area of 201.06 square inches      Log On


   



Question 1027514: Find the volume of a sphere with a great circle area of 201.06 square inches
Answer by ikleyn(52786) About Me  (Show Source):
You can put this solution on YOUR website!
.
Find the volume of a sphere with a great circle area of 201.06 square inches
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~

The area of the circle is pi%2AR%5E2.

Therefore, the condition gives you an equation to find the radius of the sphere:

3.14%2AR%5E2 = 201.06 in%5E2.

Hence, R = sqrt%28201.06%2F%283.14%29%29 = sqrt%2864%29 = 8 in (approximately).

Then the sphere volume V = %284%2F3%29%2Api%2AR%5E3 = %284%2F3%29%2A3.14%2A8%5E3 = 2143.57 in%5E3 (approximately).