Use the washer method to find the volume of the solid generated by revolving the

Question

Use the washer method to find the volume of the solid generated by revolving the shaded region about the x-axis. Round answer to the nearest hundredth.

y= 2                          

y= 2 sqrt cosx

x= pi/3                           

x= -pi/3                           

I have the problem setup right according to my example, but i keep getting the wrong answer.

Please show work and round to the nearest hundredth.

Thanks! I have been working on this problem for hours and it is just driving me crazy.

Explanation / Answer

hey, sorry i forgot to multiply pi in the formula so the answer becomes 1.45pi = 4.55

sorry for the inconvenience.solution from the third step will be

=pi*|4sinx - 4x| from -pi/3 to pi/3

= pi* |4(sqrt3)/2 - 4pi/3) - (-4(sqrt3)/2 +4pi/3) |

= pi*|4(sqrt3) -8pi/3| =pi*| 6.928 - 8.3809| = 1.45pi =   4.55 square units approximately

Related Questions

Navigate

• Browse (All)
• Browse U
• Subjects

Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.