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MATH SOLVE
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To completely cover a spherical ball, a ball company uses a total area of 36 square inches of materi...
5 months ago
Q:
to completely cover a spherical ball, a ball company uses a total area of 36 square inches of material. what is the maximum volume the ball can have?
Accepted Solution
A:
Area of a sphere is 4pr^2 and the volume of a sphere is (4pr^3)/3.
You are told that A=36 so
4pr^2=36
pr^2=9
r=(9/p)^(1/2)
Using this r in the volume equation we see that...
V=(4p/3)(9/p)^(3/2)
V~20.31in^3