1
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Question

# How many cylindrical glasses of diameter 8 cm and length 10 cm are required to fill a cylindrical bottle of radius 10 cm and height 32 cm?

A
20
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B
5
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C
10
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D
15
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Solution

## The correct option is A 20Given, Solid: Cylinder Length of glass, h=10 cm Radius of glass, r=82=4 cm Length of bottle, H=32 cm Radius of bottle, R=10 cm Let, number of glasses required to fill bottle be n Volume of water bottle=n×Volume of glassnπr2h=πR2Hnr2h=R2Hn×42×10=102×32n=100 × 3216 ×10=20 Number of glasses required to fill bottle are 20.

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