Volume of Known Cross Sections

[Vickysmith88]

Let R be the region bounded by y=e^2x, y=1, and x=ln5. Find the volume of the solid with base R and whose cross sections perpendicular to the y-axis are isosceles right triangles whose hypotenuses run from y=e^2x to x=ln5.

I tried this problem and got a volume of 1.951, which I am almost positive is way off. Can anybody help me out please?

 

[Deleted member 4993]

Let R be the region bounded by y=e^2x, y=1, and x=ln5. Find the volume of the solid with base R and whose cross sections perpendicular to the y-axis are isosceles right triangles whose hypotenuses run from y=e^2x to x=ln5.

I tried this problem and got a volume of 1.951, which I am almost positive is way off. Can anybody help me out please?

Did you make an approximate sketch?

What limits of integration did you choose for x, y & z?