This is the Important question of class 10 Based on Mensuration Chapter of M.L Aggarwal book for ICSE BOARD.
The radius and height of a solid metallic circular cylinder is given it is melted and recast into small cubes of edge 2 cm. How many such cubes can be made from the solid cylinder?
This is the Question Number 18, Exercise 17.5 of M.L Aggarwal.
Deepak BoraNewbie
A solid metallic circular cylinder of radius 14 cm and height 12 cm is melted and recast into small cubes of edge 2 cm. How many such cubes can be made from the solid cylinder?
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Radius of the solid circular cylinder, r = 14 cm
Height, h = 12 cm
Volume of the cylinder = r2h
= ×142×12
= ×196×12
= 2352
= 2352×22/7
= 7392 cm3
Edge of the cube, a = 2 cm
Volume of cube = a3
= 23 = 8 cm3
Number of cubes made from solid cylinder = 7392/8 = 924.
Hence the number of cubes made from solid cylinder is 924.