Lissie A.

asked • 04/20/22

Region R is bounded by the curves

Region R is bounded by the curves y = 4x2 and y = 4. A solid has base R, and cross sections perpendicular to the y-axis are semicircles with the diameter lying in R. The volume of this solid is

StartFraction pi Over 4 EndFraction.

StartFraction pi Over 2 EndFraction.

π.

2π.


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Inactive Tutor answered • 04/20/22

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Inactive Tutor

I made a mistake and forgot to square the "squareroot of y"/2 to represent the r^2 in the area of the cross section. I'll let you correct that mistake.
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04/20/22

Inactive Tutor

BTW, for the final answer I got pi
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04/21/22

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