SSC Selection Post 2023 PYQ — Question 74

SSC Selection Post - Matriculation Level - 30 June 2023 - Shift 3 • Quantitative Aptitude • Q74

The curved surface area of a cylindrical pillar is 528 m2, and its volume is 1848 m3. The ratio between its radius and height is ________.

Show answer & explanation

Correct answer: B

Explanation

The correct answer is option 2 i.e. 7 : 12.

Curved Surface Area (CSA) = 2πrh....(1)

here, r = radius, h = height

Volume = πr2h....(2)

According to the question,

⇒ 2πrhπr2h=5281848{2πrh\overπr^2h}={528\over1848}

⇒ 2r=27{2\over r}={2\over7}

⇒​​​​​​​ r = 7

Put the value of r in equation 1

Curved Surface Area (CSA) = 2πrh

⇒​​​​​​​ 528 = 2πrh

⇒​​​​​​​ 528 = 2 × 22722\over7 × 7 × h

⇒​​​​​​​ h = 12

Required ratio = r : h = 7 : 12