Question

Pavan filled water in a cylindrical vessel of radius 7 cm and height 14 cm. Then he gently dropped a spherical ball of radius 0.7 cm . By how much should the height be increased if he doesn't want water to overflow when the spherical ball is dropped into it ? Give the answer in micrometers and correct up to 2 decimal places . ​

Answer 1

ANSWER

Radius of cylindrical vessel =7cm and height =12cm

∴ Volume =πr  

2

h

=588π

Volume of vessel filled with water =  

3

2

​  

×588π=392π

Volume of sphere =  

3

4

​  

×π×216=288π

∴ Water spilled outside

=(392+288)π−588π=92π cm  

3

Answer 2

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