Assume that a drop of water is spherical and its diameter is one tenth of a cm A conical glass has e...........

Quantitative Aptitude ( CCS) Mensuration 3D

Assume that a drop of water is spherical and its diameter is one tenth of a cm. A conical glass has equal height to its diameter of rim. If 2048000 drops of water fill the glass completely then find the height of the glass.

12 cm

16 cm

20 cm

8 cm

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Explanation:

diameter of drop of water=1/10 => radius=1/20
volume of 204800 drop of water=204800*4/3* π*1/20 *1/20*1/20 = 1024 π/3
Volume of cone=1024 π/3 = 1/3 * π *r² * h (r=h/2)
h=16