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A hemispherical bowl of internal diameter 36cm contains some liquid. This liquid is filled into 72 cylindrical bottles of diameter 6 cm. Find the height of the each bottle, if 10percent liquid is wasted in this transfer.

A hemispherical bowl of internal diameter 36cm contains some liquid. This liquid is filled into 72 cylindrical bottles of diameter 6 cm. Find the height of the each bottle, if 10percent liquid is wasted in this transfer.

Grade:10

2 Answers

Ashutosh Mohan Sharma
askIITians Faculty 180 Points
8 years ago
volume of liquid = volume of hemisphere = (2/3) * pi r^3
since volumne remains constant,
volume of cylinder = pi r^2 h
therefore (2/3)*pi r^3=n pi R^2 h
therefore h comes out as 6 cm
Mohil Khare
24 Points
8 years ago
Is he an expert, seriously? He didn’t even include the 10% wastage. Fool, I feel sorry for you. Member of askIITians faculty! Not expected.

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