RD Sharma Solutions Class 8 Mathematics Solutions for Surface Area and Volume of Right Circular Cylinder Exercise 22.2 in Chapter 22 - Surface Area and Volume of Right Circular Cylinder

Question 39 Surface Area and Volume of Right Circular Cylinder Exercise 22.2

2.2 cubic dm of brass is to be drawn into a cylindrical wire 0.25 cm in diameter. Find the length of the wire.

A cylinder is a three-dimensional solid structure made up of two identical, parallel bases connected by a curved surface. These bases have the appearance of circular discs. So, geometrically, the wire is shaped like a cylinder.

We have,

Diameter of cylindrical wire = 0.25 cm

Radius of wire = d/2 = 0.25/2 = 0.125cm

Let length of wire be ‘h’ cm

Volume of brass wire = 2.2 dm3 = 2200 cm3

πr2h = 2200

22/7 × 0.125 × 0.125 × h = 2200

h = 2200×7 / 22×0.125×0.125

= 15400 / 0.34375

= 44800 cm

= 448m

∴ Length of

the wire is 448m.

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