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14. A spherical ball of lead 3 cm in diameter is melted and recast into three spherical balls. The diameter oftwo of these balls are 1 cm and 1.5 cm. Find the diameter of the third ball. |
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Answer» volume of {1st +2nd+3rd} sphere= vol of big sphere4/3π{(1/2)^3+(15/20•r^3}= let radius of third sphere x3 ball made by big sphere sovolume of {1st+2nd+3rd) sphere= vol of big sphere4/3π{(1/2)^3+(15/20)^3+r^3}=4/3π×(3/2)^31/8+27/64+r^3=27/8r^3=27/8-1/8-27/64 =27×8-8-27/64 =216-8-27/64=181/64r=(181/64)^1/3 |
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