Calculus Help Please

Calculus
Tutor: None Selected Time limit: 1 Day

Use the method of cylindrical shells to find the volume V generated by rotating the region bounded by the given curves about the specified axis.

y = sqrt x,      y = 0,     x = 1;    about x = −4
Jul 31st, 2015

Thank you for the opportunity to help you with your question!

 given y = 8 sqrt x

so take integral from x = 0 to x = 1 (given)

Axis of rotation given = -4

 formula for Surface area of cylindrical shell = 2π r h
r = distance = x - (-4) = x + 4

 h = y = height = 8 sqrt x

v = 2π  integral from 0 to 1 [ r h] dx


v = 2π  integral from 0 to 1 [(x + 4) 8 sqrt x]  dx


v = 2π  integral from 0 to 1[ (8x^ (3/2) + 32x^ (1/2))] dx

So

 v = 736 π/15

required volume =  736 π/15 answer


please go to your home page .click on promotion who has a heart icon add my name Asim Reh or my referral link https ://www.studypool.com/Asim Reh?aid=Asim Reh in the open window and promote me we both will get 10$ by study pool promote and best me
Jul 31st, 2015

Are you studying on the go? Check out our FREE app and post questions on the fly!
Download on the
App Store
...
Jul 31st, 2015
...
Jul 31st, 2015
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