Question 42
Mensuration of SolidsA cylindrical pipe, made of metal, is 3cm thick, if the internal radius of the pipe is 10cm, find the volume of metal used in making 3m of the pipe.
- A.153πcm3
- B.207πcm3
- C.15,300πcm3
- D.20,700πcm3
Show the answer and explanation
Answer: D (20,700πcm3)
Explanation
The outer radius is 13cm and the length is 300cm. Volume of metal = π(132 − 102) × 300 = 69 × 300π = 20,700πcm3.