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ML Aggarwal Solutions Class 10 Mathematics Solutions for Mensuration Exercise 17.5 in Chapter 17 - Mensuration
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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?
Answer:
Solution:
When we convert one solid shape to another, its volume remains the same, no matter how different the new shape is.
Radius of the solid circular cylinder, r = 14 cm
Height, h = 12 cm
Volume of the cylinder = π r2h
= π x 142x12
= π x 196x12
= 2352 π
= 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.
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