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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
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