SOLUTION: A sphere has a radius of 20 cm. How many spheres of 10-cm will have the same surface area as the surface area of the sphere? Explain.

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Question 355136: A sphere has a radius of 20 cm. How many spheres of 10-cm will have the same surface area as the surface area of the sphere? Explain.
Answer by ewatrrr(24785) About Me  (Show Source):
You can put this solution on YOUR website!
Hi,
*Note: Surface Area of a Sphere = 4%2Api%2Ar%5E2
.
Sphere with r = 20
Surface Area = 4%2Api%2A400cm%5E2
.
Sphere with r = 10
Surface Area = 4%2Api%2A100cm%5E2
.
would take 4 spheres with r = 10cm to have Surface Area = 4%2Api%2A400cm%5E2