In a women,s self -defense camp,the soup is prepared in a cylindrical utensil of radius 10 cm. If there are 9 womens in camp who take soup in hemispherical bowl of radius 5 cm then, how much soup should be made ? What would be the height of the cylindrical utensil of soup?

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2015-04-03T12:58:21+05:30

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Volume of cylinder = 9 * Volume of hemisphere 
πr²h = 9 * 2/3 πr³
r²h = 6 r³
10² h = 6 * 5³
100 h = 750
h = 7.5 cm

Soup needed = volume of cylinder = 22/7 * 100 * 7.5
= 2357.14 cm
³
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