Question

Find the volume V of the solid obtained by rotating the region bounded by the given curves about the specified line. y = ln(5x), y = 1, y = 4, x = 0; about the y-axis.

Name: find the volume v of the solid obtained by rotating the region bounded by the given curves about the specified line y ln5x y 1 y 4 x 0 about the y axis 87865
Uploaded: 2022-02-18T03:39:34-08:00
Duration: 5 min 17 s
Channel: Rakhshan S
Description: find the volume v of the solid obtained by rotating the region bounded by the given curves about the specified line y ln5x y 1 y 4 x 0 about the y axis 87865

          Find the volume V of the solid obtained by rotating the region
bounded by the given curves about the specified line. y = ln(5x), y
= 1, y = 4, x = 0; about the y-axis.

Added by Makayla T.

Calculus: Early Transcendentals

James Stewart 8th Edition

Instant Answer

Solved by Expert Rakhshan S

02/18/2022

Step 1

Given y = ln(5x), we can rewrite it as x = e^(y/5). So, the radius of the disk is r = e^(y/5)/5. Show more…

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Find the volume V of the solid obtained by rotating the region bounded by the given curves about the specified line. y = ln(5x), y = 1, y = 4, x = 0; about the y-axis.