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## Homework Statement

Evaluate the volume under z^2 = x^2 + y^2

and the disc x^2 + y^2 < 4.

Just wondering what I should write to constitute a proper solution. Would this do?:

V=(int)(int) z dA

R is {x²+y² < 4}

*[context: R in other problems was the region over which integrals were performed]*

(int)(int) z dA

=

(int)(int) sqrt( r² ) r drdT

*[T for theta]*

(using x²+y²=r² and dA->r dr dT)

The integral to actually be computed is:

(int)(int) r² dr dT

with r in [0,2]

T in [0, 2pi]

= 2pi/3 whatever the hell it is.

For a 1st year student in not-mathematics (which isn't me), is that too concise?