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 one year 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.
 one year 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
 one year 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
 one year 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
 one year ago
Best ResponseYou've already chosen the best response.0@campbell_st @Hero @AravindG @Agent_Sniffles

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

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

Dido525
 one year 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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