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 2 years ago
The base of the solid is in the region between the xaxis and the parabola y=4x^2. The cross sections of the solid Perpendicular to the yaxis are semicircles. Compute the volume of the solid.
 2 years ago
The base of the solid is in the region between the xaxis and the parabola y=4x^2. The cross sections of the solid Perpendicular to the yaxis are semicircles. Compute the volume of the solid.

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Dido525
 2 years ago
Best ResponseYou've already chosen the best response.0I realize I am Integrating with respect to y since the semicircles are perpendicular to the yaxis. I found the intersection points to be from 2 to 2. Those are also the limits of integration. I am having trouble setting up the integral however.

Dido525
 2 years ago
Best ResponseYou've already chosen the best response.0I also know that the area of a semicircle is:\[\frac{ \pi r^2 }{ 2 }\]

Dido525
 2 years ago
Best ResponseYou've already chosen the best response.0@campbell_st @Hero @AravindG @Agent_Sniffles

precal
 2 years ago
Best ResponseYou've already chosen the best response.0I think if you draw it, it helps but this is not my strong point

Dido525
 2 years ago
Best ResponseYou've already chosen the best response.0Ohh I forgot to mention since I am integrating with respect to y the limits of integration are from 0 to 4 sorry.

precal
 2 years ago
Best ResponseYou've already chosen the best response.0still not my strong point

precal
 2 years ago
Best ResponseYou've already chosen the best response.0sorry I wish I could help @satellite73 can you help on this one?

Dido525
 2 years ago
Best ResponseYou've already chosen the best response.0Don't worry about it. :) . I almost have it but I wonder if I can change the "r" in the semicircle to an x in someway/
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