The area formed in the first quadrant by the graphs of 𝑦=𝑥2 and 𝑦=8−𝑥2 is revolved about the y -axis. Using a vertical element, dV is equal to
Question
Solution 1
The volume of a solid of revolution can be found using the formula:
dV = π(R^2 - r^2)dy
where R is the outer radius and r is the inner radius.
In this case, the outer radius R is the distance from the y-axis to the curve y = 8 - x^2 and the inner radius r is the distance from the y-axis to the c Knowee AI is a powerful AI-powered study tool designed to help you to solve study problem.
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