Question

Use cylindrical coordinates to evaluate $$ \iiint_E \sqrt{x^2+y^2} \, dV $$ where E is the region that lies inside the cylinder $$ x^2+y^2=16 $$ and between the planes $$ z=-4 $$ and $$ z=3 $$.

Name: use cylindrical coordinates to evaluate iiinte sqrtx2y2 dv where e is the region that lies inside the cylinder x2y216 and between the planes z 4 and z3 08319
Uploaded: 2018-03-16T23:51:42-08:00
Duration: 3 min 46 s
Channel: Gabriel Rhodes
Description: use cylindrical coordinates to evaluate iiinte sqrtx2y2 dv where e is the region that lies inside the cylinder x2y216 and between the planes z 4 and z3 08319

          Use cylindrical coordinates to evaluate $$ \iiint_E \sqrt{x^2+y^2} \, dV $$ where E is the region that lies inside the cylinder $$ x^2+y^2=16 $$ and between the planes $$ z=-4 $$ and $$ z=3 $$.

use cylindrical coordinates to evaluate iiinte sqrtx2y2 dv where e is the region that lies inside the cylinder x2y216 and between the planes z 4 and z3 08319

Added by Cristian S.

Calculus: Early Transcendentals

James Stewart 8th Edition

Instant Answer

Solved by Expert Gabriel Rhodes

03/16/2018

Step 1

The integral is $$ \iiint_E \sqrt{x^2+y^2} \, dV $$. The region E is defined as the region inside the cylinder $$ x^2+y^2=16 $$ and between the planes $$ z=-4 $$ and $$ z=3 $$. First, let's convert the given integral and region into cylindrical coordinates. In Show more…

Show all steps

Thanks for your feedback!

Use cylindrical coordinates to evaluate $$ \iiint_E \sqrt{x^2+y^2} \, dV $$ where E is the region that lies inside the cylinder $$ x^2+y^2=16 $$ and between the planes $$ z=-4 $$ and $$ z=3 $$.