In a womens self defence training camp, the soup is prepared in a cylindrical utensil of radius 10 cm. If there are 9 women in camp who take soup in hemispherical bowls of radius 5cm, then how much soup showed be made? What would be the height of cylindrical utensil of soup?
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cylinder : r = 10 cm
let the height required be = h cm
volume of cylindrical utensil = π r² h cm³ = 100 π h cm³
hemispherical bowl = 5 cm
volume of a hemispherical bowl = 2/3 π r³ = 250/3 π cm³
amount of soup needed for 9 persons = 750 π cm³
height of cylindrical utensil = h = 750 π / (100 π) = 7.5 cm
let the height required be = h cm
volume of cylindrical utensil = π r² h cm³ = 100 π h cm³
hemispherical bowl = 5 cm
volume of a hemispherical bowl = 2/3 π r³ = 250/3 π cm³
amount of soup needed for 9 persons = 750 π cm³
height of cylindrical utensil = h = 750 π / (100 π) = 7.5 cm
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