SOLUTION: A hemisphere has a radius of 2 cm. Whats the volume of the hemisphere in terms of pi? I got the actual answer but dont understand how to put it in terms of pi. Heres what i did:

Algebra ->  Volume -> SOLUTION: A hemisphere has a radius of 2 cm. Whats the volume of the hemisphere in terms of pi? I got the actual answer but dont understand how to put it in terms of pi. Heres what i did:      Log On


   

Question 288695: A hemisphere has a radius of 2 cm. Whats the volume of the hemisphere in terms of pi?
I got the actual answer but dont understand how to put it in terms of pi. Heres what i did:
V=4/3*pi*(2*2*2)= 33.5101230666667
and then simplified that to: 33.51
i cut that i half so that id have a hemisphere instead of a sphere: 33.51/2= 16.755
how do i do this problem in terms of pi?
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
Leave pi as it is (ie don't replace it with 3.14...) to get V=%284%2F3%29pi%2A2%5E3=%284%2F3%29%2A8%2Api=%2832%2F3%29pi. So the volume of the entire sphere is V=%2832%2F3%29pi cubic cm. Divide this in half to get V=%2832%2F6%29pi cubic cm which is the volume of the hemisphere.