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Question
A solid metal cone with radius of base 12 cm and height 24 cm is melted to form solid spherical balls of diameter 6 cm each. Find the number of balls formed.
Numerical
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Solution
Radius of cone = 12 cm
Height of cone = 24 cm
Volume of the metallic cone`=1/3pi"r"^2"h"`
`=1/3pixx(12)^2xx24`
Radius of spherical ball `=6/2 "cm" = 3 "cm"`
Volume of each spherical ball `=4/3pi"r"^3`
`=4/3pixx(3)^3`
Number of balls formed `= "Volume of the metallic cone"/"Volume of each spherical ball"`
`=(pixx12xx12xx24xx3)/(3xx4xxpixx3xx3xx3)`
= 32
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