Question 44
Mensuration of SolidsA cylindrical metal pipe 1m long has an outer diameter of 7.2cm and an inner diameter of 2.8cm. Find the volume of metal used for the cylinder.
- A.440πcm3
- B.1,100πcm3
- C.4,400πcm3
- D.11,000πcm3
Show the answer and explanation
Answer: B (1,100πcm3)
Explanation
Volume of metal = π/4 × (D² − d²) × length = π/4 × (51.84 − 7.84) × 100 = π/4 × 44 × 100 = 1,100π cm³.