Multiple choice general knowledge math & puzzles

what is the basic defining formula for the volume of a solid of revolution?

  1. integral from a --> b L(x) yx

  2. integral from c --> b A(x) yx

  3. integral from c --> d A(x) dx

  4. integral from a --> b A(x) dx

Reveal answer Fill a bubble to check yourself
D Correct answer
Explanation

The volume of a solid of revolution is found by integrating the cross-sectional area A(x) along the axis of rotation from the lower bound a to the upper bound b. The formula V = integral from a to b of A(x) dx is fundamental to the disk/washer method.