SOLUTION: Assume that the moon is a sphere. What is the volume of the moon if its diameter is 3,476 km? Express your answer in scientific notation to two significant digits.

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Question 887654: Assume that the moon is a sphere. What is the volume of the moon if its diameter is 3,476 km? Express your answer in scientific notation to two significant digits.
Answer by josgarithmetic(39617) About Me  (Show Source):
You can put this solution on YOUR website!
%284%2F3%29pi%2Ar%5E3=v using v for volume. radius r=3476%2F2.

v=%284%2F3%29pi%2A%283476%2F2%29%5E3

v=%284%2A3.141592%2A%283.476%2A10%5E3%29%5E3%29%2F%283%2A8%29

v=%281%2A3.141592%2A%283.476%2A10%5E3%29%5E3%29%2F%283%2A2%29

v=%283.141592%2A%283.476%2A10%5E3%29%5E3%29%2F%286%29

v=%28131.944%2A10%5E9%29%2F6

v=21.99%2A10%5E9

highlight%28v=2.199%2A10%5E10%29.
The diameter started with four significant figures, so this accuracy was kept.

Instructions were to give the answer to two significant figures, so you would say, 2.2 x 10^10 kilometers
or
%282.2%29%2810%5E10%29.