The base of S is an elliptical region with boundary curve 9x^2 + 4y^2=36. Cross sections perpendicular to the x-axis are isosceles right triangles with hypotenuse in the base. Find the voume of S.
The base of S is an elliptical region with boundary curve 9x^2 + 4y^2=36. Cross sections perpendicular to the x-axis are isosceles right triangles with hypotenuse in the base. Find the voume of S.
1. From your equation you get:
That means the ellipse intersect the x-axis at x = -2 or x = 2.
2. An isosceles right triangle with the base b has an area of