SOLUTION: how do i solve the volume of a half sphere and a cylinder with the radius of 3 and the height of 5

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Question 271021: how do i solve the volume of a half sphere and a cylinder with the radius of 3 and the height of 5
Found 3 solutions by drk, rfer, stanbon:
Answer by drk(1908) About Me  (Show Source):
You can put this solution on YOUR website!
The volume of a sphere is
(i) V+=+%284%2F3%29%2Api%2Ar%5E3
so 1/2 a sphere is
(ii) V+=+%281%2F2%29%2A%284%2F3%29%2Api%2Ar%5E3
and the volume of a cylinder is
(ii) V+=+pi%2Ar%5E2%2Ah
we know that r = 3 and h = 5, so we get
(iii) V+=+%282%2F3%29%2Api%2A3%5E3+%2B+pi%2A3%5E2%2A5
This becomes
(iv) V+=+18%2Api+%2B+45%2Api
or
(v) V+=+63%2Api

Answer by rfer(16322) About Me  (Show Source):
You can put this solution on YOUR website!
cylinder
V=pi*r^2*h
V=3.14*9*5
V=141.3 cu units
-----------------
half sphere
V=((pi*d^3)/6)/2
V=((3.14*216)/6)/2
V=(678.24/6)/2
V=113.04/2
V=56.62 cu units

Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
how do i solve the volume of a half sphere and a cylinder with the radius of 3 and the height of 5
----------------------
Volume of half sphere:
(1/2)(4/3)(pi)(3^3) = 56.55 cu. units
--------------------------------------
Volume of cylinder:
Area of base: (pi)3^2 = 9(pi)
Volume of cylinder: 9(pi)*5 = 45(pi) = 141.37 cu. units
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Cheers,
Stan H.