(adsbygoogle = window.adsbygoogle || []).push({}); [SOLVED] Linear algebra and volume of rotational object

1. The problem statement, all variables and given/known data

I have to show that V(O) = pi * int[f(z)^2]dx when O = {(x,y,z) E R^3 | a =< z =< b, sqrt(x^2+y^2) =< f(z)}.

I have to integrate 3 times with different limits:

V(O) = int [dz, a..b] * int[dr, 0 .. f(z)] * int[dTheta * r, 0..2pi].

Why is it the integral looks like this? I believe it should look like

int[ int [ int [ dr * dTheta * ds]]] with limits as above.

**Physics Forums | Science Articles, Homework Help, Discussion**

Join Physics Forums Today!

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

# Homework Help: Linear algebra and volume of rotational object

**Physics Forums | Science Articles, Homework Help, Discussion**