If the drops of water are spherical and their diameter is 0.1 cm . . .

Question : If the drops of water are spherical and their diameter is 0.1 cm, 32000 such drops fills a conical glass up to its brim, with diameter equal to height, find the height of the glass.

Doubt by Veer

Solution : 

Diameter of spherical drop (d) = 0.1 cm 

Radius of spherical drop (r) = 0.1/2
=1/20 cm 

For Conical Glass
D=H
2R=H
R=H/2

Volume of 32000 raindrops = volume of conical glass

32000×(4/3)πr³ = (1/3)πR²H 32000×4r³ = R²H 32000×4(1/20)³ = (H/2)²H 32000×4(1/8000) = (H²/4)H 4×4 = H³/4 4×4×4=H³ H³=(4)³ H=4 cm

Hence, the height of the glass is 4 cm