SOLUTION: a sphere has a diameter that is 7.36 inches long. finf the volume to the nearest tenth

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Question 451259: a sphere has a diameter that is 7.36 inches long. finf the volume to the nearest tenth
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
Since the diameter is 7.36 inches, the radius is r=7.36%2F2=3.68 inches.


V=%284%2F3%29pi%2Ar%5E3 Start with the volume of a sphere formula.


V=%284%2F3%29pi%2A%283.68%29%5E3 Plug in r=3.68.


V=%284%2F3%29%283.14159265%29%2A%283.68%29%5E3 Replace pi with 3.14159265 (note: Use more digits of pi to get better accuracy).


V=%284%2F3%29%283.14159265%29%2A%2849.836032%29 Cube 3.68 to get 49.836032.


V=%284%2F3%29%28156.564511836365%29 Multiply 3.14159265 and 49.836032 to get 156.564511836365 (this figure is approximate).


V=208.752682448486 Multiply 4%2F3 and 156.564511836365 to get 208.752682448486 (again, this figure is approximate).


V=208.8 Round to the nearest tenth.


So the volume is approximately 208.8 cubic inches.