SOLUTION: A storage tank consists of a hemisphere of diameter 4.7m and a cylinder.The overall height of the tank is 16.5m.Find the capacity of the tank.

Algebra ->  Pythagorean-theorem -> SOLUTION: A storage tank consists of a hemisphere of diameter 4.7m and a cylinder.The overall height of the tank is 16.5m.Find the capacity of the tank.       Log On


   

Question 1068279: A storage tank consists of a hemisphere of diameter 4.7m and a cylinder.The overall height of the tank is 16.5m.Find the capacity of the tank.
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
The volume of the hemisphere is,
V%5Bh%5D=%282%2F3%29pi%2AR%5E3=%282%2F3%29pi%2A%284.7%2F2%29%5E3=+%28103823%2F12000%29pi
The volume of the cylinder is,
V%5Bc%5D=pi%2AR%5E2%2AH=pi%284.7%2F2%29%5E2%2816.5%29=+%2872897%2F800%29pi
So together,
V=V%5Bh%5D%2BV%5Bc%5D
V=%28103823%2F12000%29pi%2B%2872897%2F800%29pi
V=%28103823%2F12000%29pi%2B%281093455%2F12000%29pi
V=%281197278%2F12000%29pi
highlight%28V=%28598639%2F6000%29pi%29