Question

(????) Find the volume of the solid obtained by rotating the region bounded by $y = 4x$ and $y = 4\sqrt{x}$ about the line $x = 10$.

Name: (????) Find the volume of the solid obtained by rotating the region bounded by y = 4x and y = 4√(x) about the line x = 10.
Uploaded: 2022-07-28T06:37:44-08:00
Duration: 4 min 18 s
Channel: Kumareshwaran Rathinasabapathy
Description: (????) Find the volume of the solid obtained by rotating the region bounded by y = 4x and y = 4√(x) about the line x = 10.

          (????) Find the volume of the solid obtained by rotating the region bounded by $y = 4x$ and $y = 4\sqrt{x}$ about the line $x = 10$.

Added by Andrea M.

Calculus: Early Transcendentals

James Stewart 8th Edition

Instant Answer

Solved by Expert Kumareshwaran Rathinasabapathy

07/28/2022

Step 1

To find the points of intersection, set the two equations equal to each other: 4x = 4√(x) Divide both sides by 4: x = √(x) Square both sides to solve for x: x^2 = x x^2 - x = 0 Factor out x: x(x - 1) = 0 So, x = 0 or x = 1. Show more…

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(******≈≈) Find the volume of the solid obtained by rotating the region bounded by y=4x and y=4sqrt(x) about the line x=10. Find the volume of the solid obtained by rotating the region bounded by=4and=4/about the line=10.