The radius and height of a cylinder are in the ratio 7: 13…

The radius and height of a cylinder are in the ratio 7: 13 and its volume is 6006 cm², the radius will be: (Use $\pi =\frac{22}{7}$ )

Show answer & explanation

Correct answer: A

Explanation

The correct answer is Option 1 i.e. 7 × $\sqrt[3]3$ cm.

Volume of cylinder = πr²h

here, r = radius = 7x, h = height = 13x

⇒ $22\over7$ × (7x)² × 13x = 6006

⇒ $22\over7$ × 49x² × 13x = 6006

⇒ x³ = 3

⇒ x = $\sqrt[3]3$

Radius = 7 × $\sqrt[3]3$

SSC Selection Post 2024 PYQ — Question 75