Homework Help: calculus 2 or physics

Posted by John on Wednesday, November 17, 2010 at 1:25pm.

An underground tank full of water has the following shape
1) hemisphere of radius 5 m at the bottom
2) a cylinder of radius 5 m and height 10 m in the middle
3) a circular cone with base radius 5 and height 4 m at the top

The top of the tan is 2 m below the ground surface and is connected to the surface by a spout. Find the work required to empty the tank by pumping all of the water out of the tank up to the surface
Density of water = 1000kg/m^3
Gravity = 10m/s^2

I am doing it so I find the work done of all three (three different parts) then adding the all 3 work done to get the final answer. I really just need help solving the cone I do not even know where to begin! Someone please help me solve this!

calculus 2 or physics - Reiny, Wednesday, November 17, 2010 at 4:44pm
I can help you with finding the volume of the different shapes
volume of hemisphere = (1/2)(4/3)π(5^3) = (50/3)π
volume of cyliner = π(5^2)(10) = 250π
volume of cone = (1/3)π(5^2(4) = (100/3)π

The rest of the question deals with concepts of physics, of which I have little knowledge.

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