Asked by Sarah
(10 pts) Interpreting Word Problems A cylindrical can is made to hold 1000 cm3 of liquid.
(a) Express the surface area of the can as a function of one variable, making sure to state its domain.2
(b) Suppose that you want to build a can like the one from the previous step, but you want to put three layers
of material on the bottom, two layers in the side, and just one layer on the top. Express
(a) Express the surface area of the can as a function of one variable, making sure to state its domain.2
(b) Suppose that you want to build a can like the one from the previous step, but you want to put three layers
of material on the bottom, two layers in the side, and just one layer on the top. Express
Answers
Answered by
oobleck
v = πr^2h
so h = 1000/(πr^2)
(a) A = 2πrh + 2πr^2 = 2πr^2 + 2πr(1000/(πr^2)) = 2πr^2 + 2000/r
(b) A = 3*πr^2 + 2*2000/r + 1*πr^2 = 4πr^2 + 4000/r
so h = 1000/(πr^2)
(a) A = 2πrh + 2πr^2 = 2πr^2 + 2πr(1000/(πr^2)) = 2πr^2 + 2000/r
(b) A = 3*πr^2 + 2*2000/r + 1*πr^2 = 4πr^2 + 4000/r
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