SOLUTION: I need help. The volume of a different sphere is 12,348 pie cubic units. In terms of pie, determine the exact TSA of this sphere.

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Question 308043: I need help. The volume of a different sphere is 12,348 pie cubic units. In terms of pie, determine the exact TSA of this sphere.
Answer by rapaljer(4671) About Me  (Show Source):
You can put this solution on YOUR website!
V=%284%2F3%29%2Api%2Ar%5E3=12348%2Api

Multiply both sides by 3:
4%2Api%2Ar%5E3=37044%2Api

Divide both sides by 4%2Api
%284%2Api%2Ar%5E3%29%2F%284%2Api%29=%2837044%2Api%29%2F%284%2Api%29+
r%5E3=+9261

Take the cube root of 9261 and hope for the best!
r=21 units.

Surface area = 4%2Api%2Ar%5E2
TSA=4%2Api%2A21%5E2 square units
TSA= 1764%2Api square units.

Dr. Robert J. Rapalje, Retired