Friday

November 28, 2014

November 28, 2014

Posted by **Macy** on Thursday, December 1, 2011 at 11:52am.

y = x. This region is rotated around the x-axis. Find the volume of the resulting

solid. (Note: R is a triangular region. The resulting solid has a simple shape.

You may ask me if you are highly unsure about what the solid "looks like.")

- Calculus -
**Steve**, Thursday, December 1, 2011 at 12:46pmgeometrically, the solid is a cone of height=5, radius=5

v = 125/3 pi

Analytically,

v = Integral(pi * y^2 dx)[0,5]

= Integral(pi * x^2 dx)[0,5]

= pi/3 x^3 [0,5]

= 125/3 pi

**Answer this Question**

**Related Questions**

Calculus - 1. Find the area of the region bounded by the curves and lines y=e^x ...

calculus - The region bounded by the curve y=1÷(1+2x) , the line X=2 , the x-...

calculus - The figure shows the region bounded by the x-axis and the graph of . ...

Calculus Help!! - Region R is bounded by the functions f(x) = 2(x-4) + pi, g(x...

Calc - The region bounded by y=2.5x^2 and y=4x is to be rotated about both axes ...

Calculus - This problem set is ridiculously hard. I know how to find the volume ...

Calculus - We're learning disks, shells, and cylinders in school but we have a ...

Calculus - We're learning disks, shells, and cylinders in school but we have a ...

calculus - let R be the region of the first quadrant bounded by the x-axis and ...

integral Calculus - The region in the x-y plane bounded by the curve y=x^2, the ...