Volume with Isosceles Triangle Cross Sections

Question

A solid is generated such that its cross sections perpendicular to the x-axis are isosceles right triangles. The hypotenuse of each triangle has a length of `f(x)` on the interval `[a, b]`. Which of the following integrals represents the volume of this solid?

Accepted Answer

$$\int_a^b \frac{1}{4} [f(x)]^2 \, dx$$

Answer

$$\int_a^b \frac{\pi}{2} [f(x)]^2 \, dx$$

Answer

$$\int_a^b [f(x)]^2 \, dx$$

Answer

$$\int_a^b \frac{1}{2} [f(x)]^2 \, dx$$

Volume with Isosceles Triangle Cross Sections

Question Leaderboard