Ask Question

The solid lies between planes perpendicular to the x axis at x = - 1 and x = 1. The

cross sections perpendicular to the x axis are circular disks whose diameters run from the

parabola y = x

2

to the parabola y = 2 - x

2

. Find the volumes of the solid.

+2
Answers (1)
  1. 6 May, 16:27
    0
    Answer: 352/105

    Step-by-step explanation:

    Diameter of the circular disk is

    (2-x2) - x2

    so that the radius of the disk is the diameter divide by 2

    (2-x2-x2) / 2.

    Integrating V at 1 and - 1, we get

    V = Z 1-1A dx = Z 1-1π (1 - x2) 2

    dx = π (x - 2/3x3 + 1/5x5) 1-1

    =16/15π

    = 352/105
Know the Answer?
Not Sure About the Answer?
Find an answer to your question 👍 “The solid lies between planes perpendicular to the x axis at x = - 1 and x = 1. The cross sections perpendicular to the x axis are circular ...” in 📗 Mathematics if the answers seem to be not correct or there’s no answer. Try a smart search to find answers to similar questions.
Search for Other Answers