Volume below plane z = 4x and above circle x² + y² = 16

[nate9519]

Homework Statement

find the volume of the solid below the plane z = 4x and above the circle x^2 + y^2 = 16 in the xy plane

Homework Equations

The Attempt at a Solution

This totally confused me. I didn't think the plane z = 4x sat above the xy plane. If that is true then there would be no solid between the two graphs. I ended up putting zero for the answer. was I right or wrong

 

[Mark44]

Homework Statement

find the volume of the solid below the plane z = 4x and above the circle x^2 + y^2 = 16 in the xy plane

Homework Equations

The Attempt at a Solution

This totally confused me. I didn't think the plane z = 4x sat above the xy plane.

Part of the z = 4x plane lies above the xy plane. Did you draw a sketch of the plane and the circle?

If that is true then there would be no solid between the two graphs. I ended up putting zero for the answer. was I right or wrong

 

[STEMucator]

$$\iint_R z \space dA = \iiint_V \space dV$$

$$\iiint_V \space dV = \iint_R \int_0^z \space dzdA$$

;)

Polar co-ordinates.