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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 20

Given, 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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