SOLUTION: A sphere has a radius two times greater than the radius of a smaller sphere . How many times greater is the volume of the larger sphere than the volume of the small sphere.

Algebra ->  Surface-area -> SOLUTION: A sphere has a radius two times greater than the radius of a smaller sphere . How many times greater is the volume of the larger sphere than the volume of the small sphere.      Log On


   

Question 878453: A sphere has a radius two times greater than the radius of a smaller sphere . How many times greater is the volume of the larger sphere than the volume of the small sphere.
Answer by josgarithmetic(39617) About Me  (Show Source):
You can put this solution on YOUR website!
v=%284%2F3%29pi%2Ar%5E3 formula for volume of sphere.
Let r = radius of small sphere, and then 2r is the radius of the large sphere.

small sphere volume, %284%2F3%29pi%2Ar%5E3
larger sphere volume, %284%2F3%29pi%282r%29%5E3

Think through the ratio and the common factors, the larger sphere is 2%5E3=highlight%288%29 times bigger than the smaller in volume.