## Related questions with answers

Question

Let R be the region bounded by the following curves. Let S be the solid generated when R is revolved about the given axis. If possible, find the volume of S by both the disk/washer and shell methods. Check that your results agree and state which method is easier to apply. y=

$x^2$

, y=2-x, and x=0 in the first quadrant; revolved about the y-axis.

Solution

VerifiedAnswered 1 year ago

Answered 1 year ago

Step 1

1 of 8We will use $\textbf{Shell method}$ to find the volume of revolution of the Curve, because the vertical slices solid are circular discs and volume obtained by intermediate region is being calculated

Curve given to us

$y = x ^ { 2 } , \quad y = 2 - x , \text { and } \quad x = 0$

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