1.

A hollow cylindrical pipe of internal radius 3 cm and 7 mm thick is 10 meter long. Find the volume of the pipe?1. 14440 cm32. 14740 cm33. 13740 cm34. 18740 cm3

Answer» Correct Answer - Option 2 : 14740 cm3

Given:

Length of pipe(h) = 10 meter = 1000 cm

Internal radius(r) = 3 cm

External radius(R) = Internal radius + thickness

= 3 cm + 0.7 cm

= 3.7 cm

Formula used:

Volume of hollow pipe = π(R2 – r2)h

a2 – b2 = (a + b)(a – b)

Calculation:

∵ Volume of hollow pipe = π(R2 – r2)h

⇒ (22/7) × 1000 × [(3.7)2 – (3)2]

⇒ (22/7) × 1000 × (13.69 – 9)

⇒ (22/7) × 1000 × (4.69)

⇒ 14740 cm3



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