SSC GD 2023 PYQ — Question 52

SSC GD Constable (English) - 10 Jan 2023 - Shift 4 • Quantitative Aptitude • Q52

The curved surface area of a cone is 4,455 cm2 and its diameter is 105 cm. What is its slant height? Take π = 227\frac{22}{7}

Show answer & explanation

Correct answer: D

Explanation

The correct answer is Option 4 i.e. 27 cm

Curved surface area = 4,455 cm2

Diameter = 105 cm

Curved surface area of a cone = πrl

Radius = diameter/2 = 105/2 = 52.5 cm

ATQ -

4455 = (22/7) × 52.5 × l

l = 4455 × 7/(22 × 52.5)

l = 27 cm