(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known dataSet up intergral expression for center of mass of a cone using cylindrical coordinates with a given height H and radius R

2. Relevant equations

rdrddθdz is part of the inter grand. M/V=D volume of cone is 1/3π(r^2)H

3. The attempt at a solution

dm=Kdv dv=drdθdx K is just a constant because it is uniform density and mass. ∫∫∫zdrdθdz

z=z. Equation for cone in cylindrical coordinates is Z=(H/R)r. The top is bounded by Z=H. The angle is from o to 2π and the radius is square root of H^2+R^2. Once I take this integral I then divide by the same integral but instead there is no extra z in the inter grand. After all is set in done I get the wrong answer. I believe my initial set up might be wrong. Can anyone verify that or give a helpful suggestion thanks.

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

2. Relevant equations

3. The attempt at a solution

**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: Center of mass of cone using cylindrical coordinates

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