9. A metallic sphere of radius 10.5 cm is melted and then recast intos – InterviewSolution

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1.	9. A metallic sphere of radius 10.5 cm is melted and then recast intosmaller cones, each of radius 3.5 cm and height 3 cm. How many conesare obtained?
Answer» Volume of sphere = 4/3πr³= 4/322/710.510.510.5Volume of metallic sphere = 4851 cm³Now,Volume of one cone = 1/3πr²h= 1/322/73.53.53Volume of one cone = 38.5 cm³Total number of cones = Volume of metallic sphere/volume of one cone= 4851/38.5= 126 conesTotal number of cones can be formed is 126

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