SOLUTION: Sphere B has 4 times the surface area of sphere A. How many times the volume of sphere A is the volume of sphere B? I know the surface area formula for a sphere is 4(pi)(r)^2, how

Algebra ->  Bodies-in-space -> SOLUTION: Sphere B has 4 times the surface area of sphere A. How many times the volume of sphere A is the volume of sphere B? I know the surface area formula for a sphere is 4(pi)(r)^2, how      Log On


   

Question 459755: Sphere B has 4 times the surface area of sphere A. How many times the volume of sphere A is the volume of sphere B?
I know the surface area formula for a sphere is 4(pi)(r)^2, however, when i did the problem, i was not sure whether the answer was 4pi?
Could you please help me out?
Thank you.
Found 2 solutions by richwmiller, amoresroy:
Answer by richwmiller(17219) About Me  (Show Source):
You can put this solution on YOUR website!
What is the formula for the volume of a sphere.
compare the two.

Answer by amoresroy(361) About Me  (Show Source):
You can put this solution on YOUR website!
Sphere B has 4 times the surface area of sphere A. How many times the volume of sphere A is the volume of sphere B?
I know the surface area formula for a sphere is 4(pi)(r)^2, however, when i did the problem, i was not sure whether the answer was 4pi
Given the formula for surface area and ratio of surface area of b to a is 4,
the radius of sphere B is 2x that of sphere A.
Since volume is expressed in r^3, volume of sphere B is 8 times that of sphere A
(2^3 = 8)