Melting and Recasting
Melting and Recasting
Conversion From One Shape to Another: When you convert one solid shape to another, its volume remains the same, no matter how different the new shape is.
Example: Twenty seven solid iron spheres, each of radius r and surface area S are melted to form a sphere with surface area S'. Find the: radius r' of the new sphere.
ratio of S and S'
Solution: We have, Volume of 27 solid spheres, each of radius r =
But volume of 27 solid spheres = Volume of sphere of radius r1
We have,
Half cubic metre of gold-sheet is extended by hammering so as to cover an area of 1 hectare. Find the thickness of the gold-sheet. | |||
| Right Option : B | |||
| View Explanation | |||
A metalic sphere of radius 4.2 cm is melted and recast into the shape of a cylinder of radius 6cm. Find the height of the cylinder. | |||
| Right Option : A | |||
| View Explanation | |||
A metal cube of edge 12 m is melted and formed into three smaller cubes. If the edges of the two smaller cubes are 6 cm and 8 cm, find the edge of the third smaller cube. | |||
| Right Option : D | |||
| View Explanation | |||
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