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EEJ MAIN Aptitude QUESTION #10938
Question 1
A hollow cylindrical pipe has outer diameter 10 cm and inner diameter 6 cm. It is 1 metre long. What volume of material (metal) makes up the pipe?
  • \(1600\pi\ \text{cm}^3\✔️
  • \(1200\pi\ \text{cm}^3\
  • \(2500\pi\ \text{cm}^3\
  • \(900\pi\ \text{cm}^3\
Correct Answer Explanation

Outer radius \(R = 5\ \text{cm}\, Inner radius \(r = 3\ \text{cm}\, Length \(h = 100\ \text{cm}\

Volume of material = Volume of outer cylinder − Volume of hollow inner part

\(= \pi h (R^2 - r^2) = \pi \times 100 \times (25 - 9) = \pi \times 100 \times 16 = 1600\pi\ \text{cm}^3\