SSC CGL 2023 PYQ — Question 54

SSC CGL - 18 July 2023 - Shift 3 • Quantitative Aptitude • Q54

A conical tent with radius 6 units and height 8 units is to be made by canvas. How much canvas is needed to make the tent? (Rounded off to two places of decimals)

Show answer & explanation

Correct answer: A

Explanation

The correct answer is Option 1 i.e. 188.4 units.

Given that:

A conical tent with a radius of 6 units and height of 8 units is to be made with canvas

The curved surface area of the canvas is πrl (I = slant height and r = radius)

Again l2 = r2 + h2

⇒ l = 62+82\sqrt{6^2+8^2 } = 36+64\sqrt{36+64 } = 100\sqrt{ 100}  = 10 units

The canvas needed to make the tent is,

⇒ π × 6 × 10 = 3.14 × 6 × 10 = 188.4 units