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Question
A metallic cone of radius 12 cm and height 24 cm is melted and made into spheres of radius 2 cm each. How many spheres are formed?
Solution
We have,
Radius of the metallic cone, r = 12 cm,
Height of the metallic cone, h = 24 cm and
Radiusof the sphere, R = 2 cm
Now,
The number of spheres so formed`= "Volume of the metallic cone"/"Volume of a sphere" `
`= ((1/3pi"r"^2"h"))/((4/3pi"R"^3))`
`= ("r"^2"h")/(4"R"^3)`
`=(12xx12xx24)/(4xx2xx2xx2)`
= 108
So, the number of spheres so formed is 108.
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