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Please I need this asap, my answer is wrong

Please I need this asap, my answer is wrong-example-1
User Anothermh
by
6.7k points

1 Answer

4 votes

Answer:
512\pi

Explanation:

Given

Equation of curve is
x=√(8+y)

When this curve is rotated about the y-axis, then volume generated is given by


V=\int_(a)^(b)\pi x^2dy

When
x=0,
y=-8

Put the limits and solve the integral


\Rightarrow V=\int_(-8)^(24)\pi (8+y)dy\\\\\Rightarrow V=\pi\left ( 8y+(y^2)/(2)\right )_(-8)^(24)\\\\\Rightarrow V=\pi \left ( 8* 32+(24^2-8^2)/(2)\right )\\\\\Rightarrow V=512\pi

User Adam Kalsey
by
6.9k points