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1) Find the volume of the solid of revolution formed when the region bounded between
x = 1, x = 4, y = x2 and y = 0
is revolved vertically around the xaxis.
Using cans is the answer 21π?
 one year ago
 one year ago
1) Find the volume of the solid of revolution formed when the region bounded between x = 1, x = 4, y = x2 and y = 0 is revolved vertically around the xaxis. Using cans is the answer 21π?
 one year ago
 one year ago

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timo86mBest ResponseYou've already chosen the best response.0
by x2 you mean x*2 or x^2
 one year ago

timo86mBest ResponseYou've already chosen the best response.0
dw:1337145858842:dw I think
 one year ago

timo86mBest ResponseYou've already chosen the best response.0
area of a small slice will result in a ring so it be pi r2^2 pi r1^2
 one year ago

colorfulBest ResponseYou've already chosen the best response.0
I know it as shell method never heard "cans" befor lol
 one year ago

colorfulBest ResponseYou've already chosen the best response.0
dw:1337146309981:dwwe need the height and radius of each cylinder...
 one year ago

colorfulBest ResponseYou've already chosen the best response.0
dw:1337146393852:dw
 one year ago

colorfulBest ResponseYou've already chosen the best response.0
the surface area of a cylinder is given by\[2\pi rh\]so in this case each surface area as a function of x is\[A(x)=2\pi rh=2\pi x^2\cdot x=2\pi x^3\]
 one year ago

colorfulBest ResponseYou've already chosen the best response.0
adding up all these areas from x=1 to x=4 should give us the correct integral
 one year ago

colorfulBest ResponseYou've already chosen the best response.0
\[V=2\pi\int_{1}^{4}x^3dx\]
 one year ago

8867564Best ResponseYou've already chosen the best response.0
Thank you for the help on this problem. It was very helpful.
 one year ago

timo86mBest ResponseYou've already chosen the best response.0
you can take area from y=0 to y=1 use pi*4^2pi*1^2=15 pi so that is first part
 one year ago

timo86mBest ResponseYou've already chosen the best response.0
now for 1 to 16 integral(pi*4^2pi(sqrt(y))^2dy) from 1 to 16
 one year ago

timo86mBest ResponseYou've already chosen the best response.0
let me know what the answer was :)
 one year ago
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