Volume with Semicircular Cross Sections

Question

Which integral represents the volume of a solid whose cross sections are semicircles with a radius of `f(x)`?

Accepted Answer

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

Answer

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

Answer

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

Answer

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

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