- #1
silicon_hobo
- 59
- 0
[SOLVED] Word problems (volume & work by integrals)
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.
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
Homework Statement
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.
Homework Equations
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