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Anon25 [30]
3 years ago
15

Let R be the region in the first quadrant bounded by the graph of y=x, the vertical line x = 9, and the x-axis, as shown in the

figure.
a) Write, then evaluate (show all of your work), an integral expression that gives the volume of the solid generated when R is rotated about the x-axis.
b) Write, then evaluate (show all of your work), an integral expression that gives the volume of the solid generated when R is rotated about the vertical line x = 9.

Mathematics
1 answer:
navik [9.2K]3 years ago
5 0

The volume of the solid generated when R is revolved about the

x

-axis is

848

15

π

or approximately

177.6

.

The area of a circle with a radius equal to

8

−

x

3

2

at any given

x

is

π

⋅

(

8

−

x

3

2

)

2

.

= 848

15

π

≈

177.6

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