​Find the volume V of the solid...

Calculus
Tutor: None Selected Time limit: 1 Day

Find the volume V of the solid obtained by rotating the region bounded by the given curves about the specified line.

y = ln 7x,  y = 4,  y = 6,  x = 0;   about the y-axis
Sep 20th, 2014

the required volume is pi() x^2 dy taken between y=4 to y=6

7x = e^y

x = 1/7 * e^y

x^2 = 1/49 * e ^(2y)

pi * 1/49 *1/2 * e^(2y) taken between y =4 to y=6

1/98 * pi* (e^12- e^8)

5121.881

Sep 20th, 2014

Are you studying on the go? Check out our FREE app and post questions on the fly!
Download on the
App Store
...
Sep 20th, 2014
...
Sep 20th, 2014
Dec 10th, 2016
check_circle
Mark as Final Answer
check_circle
Unmark as Final Answer
check_circle
Final Answer

Secure Information

Content will be erased after question is completed.

check_circle
Final Answer