Mathematics

Mathematics

Problem

Region

S

is bounded on the left by

x=y^2

and on the right by

x=y+2

for

0\le y\le 2

. When

S

is revolved about the vertical line

x=5

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

\dfrac{216\pi}{15}

b)

\dfrac{316\pi}{15}

c)

\dfrac{184\pi}{15}

d)

\dfrac{332\pi}{15}

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