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How manyballs, each of radius 1 cm, can be made from a solid sphere of lead of radius8 cm? |
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Answer» Radius of metallic ball = 1 cm Volume of one ball `=(4)/(3)pi(1)^(3)=(4)/(3)pi cm^(3)` Radius of sphere = 8 cm `therefore` Volume of sphere `=(4)/(3)pi(8)^(3)cm^(3)` Now, the number of metallic balls `=("volume of sphere")/("volume of one ball")=((4)/(3)pi (8)^(3))/((4)/(3)pi)` `=(8)^(3)=512` |
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