Question
A hemispherical bowl of internal radius 9 cm, contains a
liquid. This liquid is to be filled into small cylindrical bottles of diameter 3 cm and height 4 cm. Then the number of bottles necessary to empty the bowl isSolution
Hemispherical bowl of internal radius 9 cm r = 9 volume of hemispherical bowl = 2/3 Γ Ο Γ r3 = 2/3 Γ Ο Γ 93 = 486Ο small cylindrical bottles of diameter 3 cm and height 4 cm radius = 3/2 volume of cylindrical bottles = Οr2h = Ο Γ 3/2 Γ 3/2 Γ 4 = 9Ο no of bottles required = 486Ο/9Ο = 54
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