A one metre pipe is made with inner diameter equal to outer radius. How much material (in cubic units) is required to make the pipe, if it can hold cubic metres water in it?
Show answer & explanation
Correct answer: A
Explanation
The correct answer is Option 1 i.e. 37.7.
It is given that the internal diameter is equal to the outer diameter
⇒ 2r = R
We know that,
The volume of the cylinder = π(R2 - r2)h and,
Water in pipe = Internal base × h
Now, according to the question
Water in pipe = 88/7
⇒ πr2 × h = 88/7
⇒ 22/7 × r2 × 1 = 88/7
⇒ r2 = 4
⇒ r = 2 cm
So,
⇒ R = 2r = 4 m
Now,
The material used = Volume of the pipe
Material used = π(R2 - r2)h
⇒ 22/7 × (42 - 22) × 1 = 37.3 m3