Ace school

with brainly

  • Get help from millions of students
  • Learn from experts with step-by-step explanations
  • Level-up by helping others

A community for students.

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

Mathematics
I got my questions answered at brainly.com in under 10 minutes. Go to brainly.com now for free help!
At vero eos et accusamus et iusto odio dignissimos ducimus qui blanditiis praesentium voluptatum deleniti atque corrupti quos dolores et quas molestias excepturi sint occaecati cupiditate non provident, similique sunt in culpa qui officia deserunt mollitia animi, id est laborum et dolorum fuga. Et harum quidem rerum facilis est et expedita distinctio. Nam libero tempore, cum soluta nobis est eligendi optio cumque nihil impedit quo minus id quod maxime placeat facere possimus, omnis voluptas assumenda est, omnis dolor repellendus. Itaque earum rerum hic tenetur a sapiente delectus, ut aut reiciendis voluptatibus maiores alias consequatur aut perferendis doloribus asperiores repellat.

Join Brainly to access

this expert answer

SIGN UP FOR FREE
I realize I am Integrating with respect to y since the semicircles are perpendicular to the y-axis. 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.
I also know that the area of a semicircle is:\[\frac{ \pi r^2 }{ 2 }\]

Not the answer you are looking for?

Search for more explanations.

Ask your own question

Other answers:

I think if you draw it, it helps but this is not my strong point
Ohh I forgot to mention since I am integrating with respect to y the limits of integration are from 0 to 4 sorry.
still not my strong point
Thanks anyways :) .
|dw:1357612463086:dw|
sorry I wish I could help @satellite73 can you help on this one?
Don'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/
Never mind. I got it.

Not the answer you are looking for?

Search for more explanations.

Ask your own question