SarkariPYQ

SSC CPO 2024 PYQ — Question 144

SSC CPO - 28 June 2024 - Shift 3 • Quantitative Aptitude • Q144

Back to paper

The curved surface area of a cone is 308 cm2, and its slant height is 28 cm. Find the radius of its base. (Use π = 227\frac{22}{7})

Show answer & explanation

Correct answer: A

Explanation

The correct answer is option 1 i.e. 3.5 cm.

We know the formula for the curved surface area (CSA) of a cone is:

CSA = πrl

where:

CSA = 308 cm²

⇒ l (slant height) = 28 cm

⇒ π = 22/7

Substituting the values:

⇒ 308 = (22/7) × r × 28

Simplifying:

⇒ 308 = 88r

Dividing both sides by 88:

⇒ r = 308 / 88 = 3.5 cm

Therefore, the radius of the base of the cone is 3.5 cm.