SSC CGL 2023 PYQ — Question 73

SSC CGL - 24 July 2023 - Shift 1 • Quantitative Aptitude • Q73

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 887\frac{88}{7} 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