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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 31 Surface Area and Volume of Right Circular Cylinder Exercise 22.2

A cylindrical tube, open at both ends, is made of metal. The internal diameter of the tube is 10.4 cm and its length is 25 cm. The thickness of the metal is 8 mm everywhere. Calculate the volume of the metal.

Answer:

We have,

Internal diameter of cylindrical tube = 10.4 cm

Internal radius of tube = d/2 = 10.4/2 = 5.2cm

Length of tube = 25 cm

Thickness of metal = 8 mm = 0.8 cm

Outer radius of tube = R = 5.2+0.8 = 6 cm

∴ Volume of metal = π (R2 – r2) × l

= 22/7 × (62 – 5.22) × 25

= 22/7 × (36 – 27.04) × 25

= 704 cm3

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