Q13 of 79 Page 244

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?

Let the number of lead shots be n.


Given,


Diameter of right circular cone = 8 cm


Radius of right circular cone (r) = 4 cm


Height of right circular cone (h) = 12 cm


Radius of spherical lead shot (r) = 4 mm


= cm (10 mm = 1 cm)


Volume of right circular cone = nNumber of spherical lead shots


n =


⇒ n =


⇒ n = (4)2 (12) ()3


⇒ n = 4 4 12


⇒ n = 3 5 5 10


⇒ n = 750 lead shots


Therefore 750 lead shots can be made.


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