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.

1
by mujagatpM5eghna

2016-03-11T10:36:42+05:30
Height of vessel, H = 32 cm
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
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