2Let R be the region bounded by Y = x x 1, and y 0. Use the shell method to find the volume of the solidgenerated when R is revolved about the line x 5.Set up the integral that gives the volume of the solid using the shell method. Select the correct choice belowand fill in the answer boxes to complete your choice.Type exact answers.)O A.dy0O B.dxThe volume of the solid isType an exact answer.)

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Asked Jun 21, 2019
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2
Let R be the region bounded by Y = x x 1, and y 0. Use the shell method to find the volume of the solid
generated when R is revolved about the line x 5.
Set up the integral that gives the volume of the solid using the shell method. Select the correct choice below
and fill in the answer boxes to complete your choice.
Type exact answers.)
O A.
dy
0
O B.
dx
The volume of the solid is
Type an exact answer.)
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2 Let R be the region bounded by Y = x x 1, and y 0. Use the shell method to find the volume of the solid generated when R is revolved about the line x 5. Set up the integral that gives the volume of the solid using the shell method. Select the correct choice below and fill in the answer boxes to complete your choice. Type exact answers.) O A. dy 0 O B. dx The volume of the solid is Type an exact answer.)

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Expert Answer

Step 1

Given:

The given curves are y = x2, x = 1, and y = 0.

The volume of the solid revolved around the line x = 5. So, the radius of the cylinder is 5 – x.

The height of the cylinder is the difference of the functions y = x2 and y = 0. That is, h = x2.

Step 2

Calculation:

Use shell method to find the volume of the solid generated when R is revolved about the line x = 5 is calculated as follows.

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V =[4(x)c where 4(x) 2rh

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Step 3

Calculate the cross-section...

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A(x) 27rh =27 (5-x)(x)

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