13.A metallic sphere of radius 10.5cm is melted and then recast into small cones, each of radius 3.5 cm
and height 3 cm.Find how many cones are obtained. 3
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Step-by-step explanation:
Volume of sphere = 4/3πr³
= 4/3*22/7*10.5*10.5*10.5
Volume of metallic sphere = 4851 cm³
Now,
Volume of one cone = 1/3πr²h
= 1/3*22/7*3.5*3.5*3
Volume of one cone = 38.5 cm³
Total number of cones = Volume of metallic sphere/volume of one cone
= 4851/38.5
= 126 cones
Total number of cones can be formed is 126.
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Step-by-step explanation:
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