Use spherical cord to compute area of a disk

[kougou]

Homework Statement

Use spherical cords to compute area of a disk, that's center at x,y=0, and z=4, having a radius of 3

Homework Equations

I set up a triple ∫∫∫ (r^2* sin(theta)), running from phi =0 to 2pi,
theta=0 to arcsin(3/5), r=5sin(theta) to 5.

The Attempt at a Solution

It doesn't give me a current answer. What's wrong

Am I even on the right track?

 

[Mark44]

Homework Statement

Use spherical cords to compute area of a disk, that's center at x,y=0, and z=4, having a radius of 3

Homework Equations

I set up a triple ∫∫∫ (r^2* sin(theta)), running from phi =0 to 2pi,
theta=0 to arcsin(3/5), r=5sin(theta) to 5.

This is way off. To compute area you need only a single integral or at most a double integral.

Also, you have omitted the differentials on your integral.

The Attempt at a Solution

It doesn't give me a current answer. What's wrong

Am I even on the right track?