Math, asked by tanvi27, 1 year ago

the hemisphere bowl of internal radius 9cm is full of water. its contents are emptied into a cylindrical vessal of internal radius6cm. find the height of water in the cylindrical vessal?

Answers

Answered by amitkhokhar
1
the height of cylinder filled is 3 cm

HimanshuHK: 3 CM! How?
amitkhokhar: sorry 6cm
amitkhokhar: because 2/3πr³=πr²h
amitkhokhar: right
HimanshuHK: but how can we take them equal! hemisphere radius and cylinder radius are different.. !
Answered by HimanshuHK
2
volume of Hemisphere=2/3 πr³
=2/3π 9*9*9
=486π

Volume of cylinder= πr²h
but volume which us filled is given that is 486π

so πr²h=486π
r²h=486
36h=486 (r=6)
h=486/36
h=13.5

so Height is 13.5 centimetres!

amitkhokhar: ok i got itv
amitkhokhar: concepts misunderstood
HimanshuHK: Oh! yeah!
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