31796 **Cylindrical** Pressure for Frictionless Piston Device **Cylindrical** Pressure for Frictionless Piston Device Please see attached file
A gas is contained in a vertical, frictionless piston cylinder device.

Mathematics, Calculus
Year 4
Triple Integral
Compute a triple integral over a specific solid that would be very difficult in rectangular coordinates, but easy in parabolic **cylindrical** coordinates, u, v, z, where
x=(1/2)(u^2-v^2) y=uv z=z

96938 Applications of div, grad, curl: Verification of the divergence theorem on **two** given surfaces Applications of div, grad, curl: Verification of the divergence theorem on **two** given surfaces Following is the text part of the solution.

571219 self-inductance-**cylindrical**-coaxial-cables self-inductance-**cylindrical**-coaxial-cables see the file attached This solution provides step-by-step processes for the calculations of magnetic self-inductance of a long coaxial cable, including final

We need to find the volume of this filling by separating the **cylindrical** and the hemispherical parts.

97428 **Cylindrical** can holding tennis ball **Cylindrical** can holding tennis ball Please see attached file
Volume of 3 tennis balls:
Because the can is just enough to hold 3 balls, its diameter is equal to the diameter of the ball and its height is

583083 Finding Measurements of **Cylindrical** Objects Finding Measurements of **Cylindrical** Objects Please see the attached .pdf file for a complete, detailed solution.

Let Q be the sphere: X^2 + Y^2 + Z^2 = a^2
a) Use **CYLINDRICAL** coordinates to set up the integral to calculate the volume of Q
b) Use SPHERICAL coordinates to set up the integral to calculate the volume of Q
c) Solve for Q using either a or

In Puerto Rico, they are inspected at customs and at the factory and are transferred to strage **tanks** in Puerto Rico.

30578 Minimize Cost for a **Cylindrical** Can Minimize Cost for a **Cylindrical** Can Assume the radius of the top and bottom of the can is r, and the height is h.