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Question
A solid metal cone with base radius of 12 cm and height 24 cm is melted to form solid spherical balls of diameter 6 cm each. Find the number of balls thus formed.
Solution
Radius of the cone = 12 cm
Height of the cone = 24 cm
`"Volume" = 1/3pir^2h=1/3pixx12xx12xx24 = 48xx24xxpi "cm"^3`
Radius of each ball= 3 cm
Volume of each ball `=4/3 pir^3 =4/3pixx3xx3xx3 =36pi cm^3`
Total numberof balls formed by melting the cone `= "volume of cone"/"volume of a ball" =(48xx24pi)/(36pi)=32`
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