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Question

Find the co-ordinates of the center of mass of a hollow cone having a height of 90 cm as shown in the figure.


A
(0,45) cm
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B
(0,60) cm
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C
(0,30) cm
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D
(0,25) cm
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Solution

The correct option is C (0,30) cm
Given height of the hollow cone H=90 cm
xco-ordinate of COM of the hollow cone is zero because the hollow cone is symmetric about y axis.
i.e xCOM=0

We know that, height of the COM of a hollow cone from the center of base of the cone is H3
So, y co-ordinate of COM of the hollow cone,
yCOM=H3=903=30 cm
So, co-ordinates of COM of the hollow cone are (xCOM,yCOM)=(0,30) cm

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