 # ML Aggarwal Solutions Class 10 Mathematics Solutions for Mensuration Exercise 17.5 in Chapter 17 - Mensuration

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?

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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