in a camp all the people together made the soup in a cylindrical utensil of radius 10cm .if there are 9 people in the camp who take soup in hemispherical bowls of radius 5cm ,then how much soup should be made? what would be the height of soup in cylindrical utensil ? which value is depicted from the question?
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volume of cylinder=pi*r^2*h
=pi*10^2*h
volume of hemisphere=2/3*pi*r^3
=2/3*pi*5^3
according to the given condition
vol. of cylinder=9(vol. of hemisphere)
pi*100*h=9*(2/3*pi*125)
100*h=6*125
h=125*6/100
h=7.5 cm
therefore the height of soup in cylindrical vessel will be =7.5 cm
answer
=pi*10^2*h
volume of hemisphere=2/3*pi*r^3
=2/3*pi*5^3
according to the given condition
vol. of cylinder=9(vol. of hemisphere)
pi*100*h=9*(2/3*pi*125)
100*h=6*125
h=125*6/100
h=7.5 cm
therefore the height of soup in cylindrical vessel will be =7.5 cm
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