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(a) A solid right circular copper cone of height 15 cm and radius 6 cm is melted and recast into smaller copper cones of height 3 cm and radius 2 cm. How many such smaller cones can be made? (b) Two solid spheres of radii 2 cm and 4 cm are melted and recast into a cone of height 8 cm. Find the radius of the cone so formed. [6 MARKS]

Answer» (a) A solid right circular copper cone of height 15 cm and radius 6 cm is melted and recast into smaller copper cones of height 3 cm and radius 2 cm. How many such smaller cones can be made?

(b) Two solid spheres of radii 2 cm and 4 cm are melted and recast into a cone of height 8 cm. Find the radius of the cone so formed. [6 MARKS]


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