# Thread: Volume of ellipical region..integrals

1. ## Volume of ellipical region..integrals

Find the Volume of the described solid S.

The base of S is an elliptical region with boundry curve 9x^2 + 4y^2 = 36.Cross sections perpendicular to the x-axis are isosceles triangles with hypotenuse in the base.

The answer in my book is 24, I cant seem to even imagine the region I tried drawing the graph of the elliptical region, am not sure how the cross sections will look like? Any help much appreciated thanks

2. Originally Posted by zangestu888
...isosceles triangles with hypotenuse in the base.
huh??

i can tell you this much, the volume is given by $V = \int_{-2}^2 A(x)~dx$, where $A(x)$ is the cross-sectional area of the figure, namely the area we will get from the triangles. which as far as i can see, are confusing how you described them

3. Not sure myself this is exactly how the question was worded lol, why cant they be more clear man