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A solid of revolution is created when Region R is revolved about the horizontal x -axis. Set up the integral to find the VOLUME of

A solid of revolution is created when Region

R

is revolved about the horizontal

x

-axis. Set up the integral to find the VOLUME of the solid using a horizontal representative rectangle. Region

R

is defined by the equations:\

x=18y-y^(2)

and the

y

-axis\ A) Volume

=2\\\\pi \\\\int_0^(18) [x(18y-y^(2))]dy

\ B) Volume

=2\\\\pi \\\\int_0^(18) [y(18y-y^(2))]dy

\ C) Volume

{

[

:=\\\\pi \\\\int_0^(18) [(18y)^(2)-(y^(2))^(2))]dy

}\ D) Volume

=\\\\pi \\\\int_0^(18) [(18y-y^(2))^(2)]dy
image text in transcribed
A solid of revolution is created when Region R is revolved about the horizontal x-axis. Set up the integral to find the VOLUME of the solid using a horizontal representative rectangle. Region R is defined by the equations: x=18yy2 and the y-axis A) Volume =2018[x(18yy2)]dy B) Volume =2018[y(18yy2)]dy C) Volume =018[(18y)2(y2)2)]dy D) Volume =018[(18yy2)2]dy

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