In a women's self-defense training camp,the soup is prepared in a cylindrical utensil of radius 10cm.If there are 9 women 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 cylindrical utensil of soup ? What value is depicted here?

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Answers

2015-03-31T19:58:48+05:30
Volume of cylindrical utensil=volume of 9 hemispherical bowl -------- (1)
No. of women in the camp = 9
Radius of hemispherical bowls=5 cm
Volume of a hemisphere =2/3πr³
Volume of 9 spherical bowls = 9×2/3×22/7×5×5×5
                                          = 2×22/7×125
                                          = 44×125/7
                                          =5500/7cm³
Radius of cylindrical utensil=10 cm
Volume of cylindrical utensil=πr²h
          From (1)                
                         5500/7=22/7×10×10×h
                             (5500)/100×22=h
                                    55/22=h
                                     h=5/2
                                     h=2.5 cm
Hope this helps you................ :)
           
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