SOLUTION: The lateral surface of a right circular cylinder is 330π sq. cm.. If its altitude is 20cm, find the diameter of its base.

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Question 956365: The lateral surface of a right circular cylinder is 330π sq. cm.. If its altitude is 20cm, find the diameter of its base.
Answer by macston(5194) About Me  (Show Source):
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The lateral surface of a right circular cylinder is 330(pi) sq. cm.. If its altitude is 20cm, find the diameter of its base.
A%5BL%5D=lateral area; d=diameter of base; h=height(altitude)
A%5BL%5D=d%28pi%29h
A%5BL%5D%2F%28%28pi%29h%29=d
330%28pi%29cm%5E2%2F%28pi%2820cm%29%29=d
%2833%2F2%29cm=d
16.5cm=d ANSWER: The diameter is 16.5 centimeters.
CHECK:
A%5BL%5D=d%28pi%29h
330%28pi%29cm%5E2=16.5cm%28pi%2920cm
330%28pi%29cm%5E2=330%28pi%29cm%5E2