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A cone was melted and cast into a cylinder of the same radius as that of the base of the cone. If the height of the cylinder is 5

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A cone was melted and cast into a cylinder of the same radius as that of the base of the cone. If the height of the cylinder is 5 cm, find the height of the cone. 

(A) 15 cm 

(B) 10 cm 

(C) 18 cm 

(D) 5 cm

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(A) 15 cm

Volume of cone = volume of cylinder 

∴ 1/3πr2h = πr2H

∴ h/3 = 5

∴ h = 15 cm

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