Ask questions and get helpful answers.

Find the volume of the solid whose base is the circle x^2+y^2=25 and the cross sections perpendicular to the x-axis are triangles whose height and base are equal.

Find the area of the vertical cross section A at the level x=1.

  1. 👍
  2. 👎
  3. 👁
  4. ℹ️
  5. 🚩
1 answer
  1. The triangle with base at x has base with length 2y where y is on the circle, so the area A of each triangle is

    1/2 (2y)(2y) = 2y^2 = 2(25-x^2)

    The volume is just the integral of that from -5 to 5.

    1. 👍
    2. 👎
    3. ℹ️
    4. 🚩

Answer this Question

Related Questions

Still need help?

You can ask a new question or browse existing questions.