Good Mensuration Qs

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OSO
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Q1. Initially the diameter of a balloon is 28cm. It can explode when the diameter becomes 5/2 times of the initial diameter. Air is blown at 156 cc/s. It is known that the shape of balloon always remains spherical. In how many seconds the balloon will explode?
a. 1078s              b. 1368s              c. 1087s                       d. None of these

Q2. A blacksmith has a rectangular sheet of Iron. He has to make a cylindrical vessel both circular ends are closed. When he minimizes the wastage of the sheet of iron, then what is the ratio of the wastage to the utilized area of sheet?
a. 1/11               b. 2/ 17                 c. 3/22                     d. None of these

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jigar patel (not verified)
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ans

 

Q1. Initially the diameter of a balloon is 28cm. It can explode when the diameter becomes 5/2 times of the initial diameter. Air is blown at 156 cc/s. It is known that the shape of balloon always remains spherical. In how many seconds the balloon will explode?
a. 1078s              b. 1368s              c. 1087s                       d. None of these

 

ans is 1078

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ans

Q1. Initially the diameter of a balloon is 28cm. It can explode when the diameter becomes 5/2 times of the initial diameter. Air is blown at 156 cc/s. It is known that the shape of balloon always remains spherical. In how many seconds the balloon will explode?
a. 1078s              b. 1368s              c. 1087s                       d. None of these

initial diameter=28
final diameter=70

so final volume when explode=(4/3)(22/7)(35*35*35-14*14*14)------------(1)

equation divided by 156 cc/s

we get 1078

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