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प्रश्न
A hemispherical bowl of internal radius 9 cm is full of water. This water is to be filled in cylindrical bottles of diameter 3 cm and height 4 cm. Find the number of bottles needed in which the water can be filled.
उत्तर
Radius of hemisphere = 9 cm
Volume of hemisphere `= 2/3 pir^3`
`=(2/3pixx9xx9xx9)"cm"^3`
Radius of each bottle `= 3/2 "cm"`
Height of each bottle = 4 cm
Volume of each bottle `= pi"r"^2"h"`
`=(pixx3/2xx3/2xx4)"cm"^3`
Numbe of bottles `= "Volume of the hemisphre"/"Volume of each bottle"`
`=(2pixx9xx9xx9xx2xx2)/(3xxpixx3xx3xx4)`
= 54
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