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
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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