(adsbygoogle = window.adsbygoogle || []).push({}); [SOLVED] Word problems (volume & work by integrals)

1. The problem statement, all variables and given/known data

a) A pie-dish with circular cross-section is 24cm across the top, 16cm across the bottom and 6cm deep. Find the volume of the dish.

b) A water tank in the form of a cylinder with height 20 ft and radius 6 ft is half full of water, find the work required to pump all of the water over the top rim (water weighs 62.5lb/ft^3.

2. Relevant equations

3. The attempt at a solution

a)I'm pretty sure I've got this one, just looking for some confirmation.

http://www.mcp-server.com/~lush/shillmud/int1.8.JPG

b)I found this one tougher. I used 32 ft/s for gravity and 1.36 J/lbft. Am I on the right track? Thanks for reading.

http://www.mcp-server.com/~lush/shillmud/int1.9.JPG

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# Word problems (volume & work by integrals)

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