The region bounded by the given curves is rotated about the specified axis. find the volume v of the resulting solid by any method. x = (y − 7)2, x = 4; about y = 5

cubic units

Step-by-step explanation:

We are given that a region bounded by a curves

x=4 and about y=5

We have to find the value of volume of the resulting solid

To find the volume of resulting solid we are using cylinder method

Substitute the values of x then we get

y-7=2  and y-7=-2

y=7+2=9 and y=-2+7=5

Radius of cylinder =r=y-5

and height =h=

Using cylinder method and integrate along y -axis from y=5 to y=9

Volume =

volume=

Volume =

Volume =

Volume=

Volume =

Volume =

Hence, volume of resulting solid =cubic units

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step-by-step explanation:

whats the