Question

Find the distance of centre of mass from $O$ of a composite solid cone and solid cylinder made of same material.

Answer 1

Let the density of mutual is $1$
mass of cost come my = voltmeter of density
$=\frac{1}{3}\pi r^{2}H$
mass only $m_2=$ volume $\times$ density $=\pi r^{2}H$
$x=-\frac{x_1{x}_1+m_2}{m_1+m_2}=\frac{\left(\frac{1}{3}\pi r^{2}H\right)\times \frac{H}{4}+\pi r^{2}H\times (-\frac{1}{2})}{\frac{1}{3}\pi r^{2}H+\pi r^{2}H}$
$x=\frac{-5}{16}H$