# Find the number of cylindrical glasses of diameter 6cm and height 80mm that can be filled with juice from a cylindrical vessel of base diameter 30cm, given that the vessel is filled with juice upto a height of 32cm.

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Diameter of vessel, D = 30 cm

i.e. R = 15 cm

Height of glass, h = 80 mm

= 8 cm

Diameter of glass, d = 6 cm

i.e. r = 3 cm

Let the no of glasses that can be filled = x

Therefore,

the Volume of vessel = x times the volume of glass

⇒ ² H = ² h * x

⇒ * 15* 15 *32 = * 3 * 3* 8 * x

⇒ * 15* 15 *32 / * 3 * 3* 8 = x

⇒ x = 5*5*4

⇒ x = 100

Therefore, the no. of glasses that can be filled = x

= 100