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Question
A cubical ice-cream brick of edge 22 cm is to be distributed among some children by filling ice-cream cones of radius 2 cm and height 7 cm up to the brim. How many children will get the ice-cream cones?
Options
163
263
363
463
Solution
363
The edge of the cubical ice - cream brick = a = 22 cm
Volume of the cubical ice - creaam brick = (a)3
`= (22xx22xx22) "cm"^3`
Radius of an ice- cream cone = 2 cm
Height of an ice - cream cone = 7 cm
Volume of each ice - cream cone `= 1/3pi"r"^2"h" `
`= (1/3xx22/7xx2xx2xx7) "cm"^3`
Number of ice - cream cones`= "Volume of the cubical ice cream brick"/"Volume of each ice cream cone"`
`= (22xx22xx22xx3xx7)/(22xx2xx2xx7)`
`=363`
Hence, the number of ice cream cones is 363
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