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Question

An iron right circular cone of diameter 8 cm, and height 12 cm, is melted and recast into spherical lead shots each of radius 4 mm. How many lead shots can be made?

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Solution

Given, diameter of the right circular cone =8 cm
Therefore, radius will be 4 cm.
Also given, height 12 cm, radius of spherical lead shots =4 mm.
We know, 10 mm =1 cm
Thus, 4 mm=410 cm
Volume of right circular cone =n× ( number of spherical lead shots )
n=13πr2h43πr3
Putting all the value , we get
n=3×5×5×10
n=750
Therefore, 750 lead shots can be made.

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