Friday

October 31, 2014

October 31, 2014

Posted by **Megan** on Sunday, April 1, 2007 at 11:31pm.

HELP!

Lets do the x=2 axis.

dV= pi rh dr where r is radius, h is height. r= x-1 dr=dx h= y=x^2

dV= PI (x-1)x^2 dx

Then integrate from x=1 to 2

So the idea is to draw the pic, make an incremental dV in terms of r and h, change those to x,y variables.

What about rotating about y=6

dV= PI r h dr

r= 6-y y goes from 0 to 1^2

dr= dy

h= 1-sqrt(y)

check that picture

**Answer this Question**

**Related Questions**

calculus - using the method of shells, set up, but dont evaluate the integral, ...

calculus - 1. Find the area of the region bounded by f(x)=x^2 +6x+9 and g(x)=5(x...

Calculus AP - Let R be the region in the first quadrant bounded by the graph y=3...

MATH - Find the volumes of the solids generated by revolving the region in the ...

calculus - 8). Part 1 of 2: In the solid the base is a circle x^2+y^2=16 and the...

Calculus - Find the volume of the solid whose base is the region in the xy-plane...

Calculus II/III - A. Find the integral of the following function. Integral of (x...

Calculus - Use the shell method to set up, but do not evaluate, an integral ...

calculus - A question on my math homework that I can't seem to solve... Rotate ...

math - Consider the region bounded by the curves y=5 and y=5 and y = x +4/x. set...