Math, asked by 18shreya2004mehta, 9 months ago

A hemispherical bowl of internal diameter 36 cm contains liquid. This liquid is filled into 72 cylindrical bottles of diameter 6 cm. Find the height of each bottle, if 10% liquid is wasted in transfer.

answer fastly plz....it is needed I have test tomorrow.​

Answers

Answered by snehakotak5704
0

Answer:

diameter of bowl is 36 cm

so, radius is 18 cm

Volume of bowl = 2/3 π r^3

= 2/3 × π ×18×18×18

= 3888 π cm^3

volume of liquid transferred= 3888 π - 10%3888 π

= 3888 π - 388.8 π

=3499.2 π

radius of each cylinder bottle, R = 6/2 = 3cm

let the height of cylinder bottle be h

volume of each cylinder bottle = π R^2h

= π ×3×3 × h

= 9π h

Therefore, the volume of 72 such cylinder bottles are :

= 72×9πh

= 648πh cm^2

according to question,

total volume of 72 such cylinder bottles = volume of liquid transferred

Therefore,

648πh = 3499.2π

h = 3499.2/ 648

h = 5.4 cm

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