Mathematics

Mathematics

Problem

Let

R

be the region bounded by the curve

y=\sqrt{x}

, the

y

-axis, and the horizontal line

y = 3

. When

R

is revolved about the vertical line

x = -1

, what is the volume of the solid generated? a)

\dfrac{348\pi}{5}

b)

\dfrac{288\pi}{5}

c)

\dfrac{333\pi}{5}

d)

\dfrac{243\pi}{5}

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