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Question
A hemispherical bowl of internal diameter 30 cm is full of a liquid. This liquid is filled into cylindrical-shaped bottles each of diameter 5 cm and height 6 cm. How many bottles are required?
Sum
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Solution
Radius of hemispherical ball `=30/2= 15 "cm"`
Volume of hemispherical bowl `=2/3pi"r"^3`
`=(2/3xx15xx15xx15)"cm"^3`
Radius of each `=5/2 "cm"`
Height of each bottle = 6 cm
`= "Volume of each bottle" = πr^2h`
`=(pixx5/2xx5/2xx6)"cm"^3`
`=(2xxpixx15xx15xx2)/(3xxpixx5xx5xx6)`
= 60
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