Question

Find the volume of solid of revolution by revolving the region bounded by ? = ?2...

Find the volume of solid of revolution by revolving the region bounded by ? = ?2 and ? = 4 about the ?-axis using both disk and cylinder methods. show step by step solution

use this formula for disk method=
?
? = ? ∫ {[?(?)]2 − [?(?)]2} ?? 12.2
?

use this formula fo cylinder method=
?
?=2?∫ ?[?(?)−?(?)]??
?

Homework Answers

Know the answer?
Your Answer:

Post as a guest

Your Name:

What's your source?

Earn Coins

Coins can be redeemed for fabulous gifts.

Not the answer you're looking for?
Ask your own homework help question
Similar Questions
Find the volume of solid of revolution by revolving the region bounded by ? = ?2...
Find the volume of solid of revolution by revolving the region bounded by ? = ?2 and ? = 4 about the ?-axis using both disk and cylinder methods. show step by step solution use this formula for disk method= ? ? = ? ∫ [?(?)]^2 ?? ? use this formula for cylinder method= ? ?=2?∫ ??(?)?? ?
Use shell method to find the volume of the solid generated by revolving the region bounded...
Use shell method to find the volume of the solid generated by revolving the region bounded by y=4−x, y=2 ,x=0 about x-axis. Sketch the region.
Find the volume of the solid generated by revolving the region bounded by the graphs of...
Find the volume of the solid generated by revolving the region bounded by the graphs of y = e x/4 , y = 0, x = 0, and x = 6 about the x−axis. Find the volume of the solid generated by revolving the region bounded by the graphs of y = √ 2x − 5, y = 0, and x = 4 about the y−axis.
3. Find the volume of the solid of revolution. The region is bounded by y= 4x...
3. Find the volume of the solid of revolution. The region is bounded by y= 4x and y = x^3 and x ≥ 0. a) Make a sketch. b) About the x axis (disk/washer method). c) About the x axis (cylindrical shells). d) About the y axis (disk/washer method). e) About the y axis (cylindrical shells).
Find the volume of the solid generated by revolving the plane region bounded by the graphs...
Find the volume of the solid generated by revolving the plane region bounded by the graphs of y= \sqrt{x} , y=0, x=5, about the line x=8. Find the volume using: a) DISK/WASHER Method b) SHELL METHOD
Find the volume of the solid generated by revolving the plane region bounded by the graphs...
Find the volume of the solid generated by revolving the plane region bounded by the graphs of y= \sqrt{x} , y=0, x=5, about the line x=8. Find the volume using: a) DISK/WASHER Method b) SHELL METHOD
Find the volume of the solid generated by revolving the region bounded by y = 2ex...
Find the volume of the solid generated by revolving the region bounded by y = 2ex - 4x, y = 2 - 2x, x = 0, x = 1 about the x-axis using the most appropriate method.
Find the Volume of the solid obtained by revolving the region bounded by y=-x^2+1, the x-axis,...
Find the Volume of the solid obtained by revolving the region bounded by y=-x^2+1, the x-axis, and the y-axis. Solve by using shell method & another method.
Find the volume of the solid generated by revolving the region bounded by y = 1sqrtx...
Find the volume of the solid generated by revolving the region bounded by y = 1sqrtx and the lines y = 2 and x = 0 about: (a) the x -axis. Volume is (b) the y -axis. Volume is (c) the line y = 2 . Volume is (d) the line x = 4 . Volume is
3. (a) Find the volume of the solid generated by revolving the region bounded by the...
3. (a) Find the volume of the solid generated by revolving the region bounded by the graphs of the given equations around the x-axis. ? = 0, ? = ? 3 + ?, ? = 1 (b) Find the volume of the solid generated by revolving the region from part (a) around the y-axis