Question

Evaluate: $\iiint_G z \, dV$, where $G$ is the cylindrical solid $x^2 + y^2 = 1$ between $z = 0$ and $z = \sqrt{2}$.

Name: evaluate iiintg z dv where g is the cylindrical solid x2 y2 1 between z 0 and z sqrt2 26574
Uploaded: 2020-05-13T15:35:03-08:00
Duration: 9 min 4 s
Channel: Carlos Pinilla
Description: evaluate iiintg z dv where g is the cylindrical solid x2 y2 1 between z 0 and z sqrt2 26574

          Evaluate: $\iiint_G z \, dV$, where $G$ is the cylindrical solid $x^2 + y^2 = 1$ between $z = 0$ and $z = \sqrt{2}$.

Added by Keith M.

Calculus: Early Transcendentals

James Stewart 8th Edition

Instant Answer

Solved by Expert Carlos Pinilla

05/13/2020

Step 1

We can use cylindrical coordinates to evaluate this integral. In cylindrical coordinates, we have $x = r \cos \theta$, $y = r \sin \theta$, and $z = z$. The Jacobian is $r$. The region $G$ is described by $0 \le r \le 1$, $0 \le \theta \le 2\pi$, and $0 \le z \le Show more…

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