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Question
A hemispherical bowl of internal radius 9 cm is full of liquid. This liquid is to be filled into conical shaped small containers each of diameter 3 cm and height 4 cm. How many containers are necessary to empty the bowl?
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Solution
Radius of hemispherical bowl = 9 cm
Volume = `1/2 xx 4/3pir^3`
= `2/3pi9^3`
= `2/3pi xx 729`
= 486π cm3
Diameter each of cylindrical bottle = 3 cm
Radius = `3/2` cm and height = 4 cm
∴ Volume of bottle = `1/3pir^2h`
= `1/3pi xx (3/2)^2 xx 4`
= 3π
∴ No. of bottles = `(486pi)/(3pi) = 162`
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