A flask in the shape of a right circular cone of height 24 cm is filled with water The water is pour...........

Quantitative Aptitude ( CCS) Mensuration 3D

A flask in the shape of a right circular cone of height 24 cm is filled with water. The water is poured in a right circular cylindrical flask whose radius 1/3 rd is of the radius of the base of the circular cone. Then the height of the water in the cylindrical flask is

72 cm

82 cm

92 cm

62 cm

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Explanation:

Let the radius of the cone be R and height be H
Let the radius and height of the cylinder be r and h
Then , Volume of the cylindrical flask = Volume of the cone
π r2h = 1/3 π R²H
(R/3)²h = 1/3 × R² 24
h = (R²×24×3×3) / (R²×3) = 72 cm