SSC GD 2023 PYQ — Question 45

SSC GD Constable (English) - 2 Feb 2023 - Shift 1 • Quantitative Aptitude • Q45

A hemispherical bowl is made of thick steel having thickness 0.5 cm. If the external diameter of the bowl is 43 cm, then the capacity of the bowl is: (Use π =227\frac{22}{7})

Show answer & explanation

Correct answer: A

Explanation

The Correct answer is Option 1 i.e.19404.

External diameter = 43 cm

Radius = diameter/2 = 43 cm/2 = 21.5 cm

Internal radius = external radius - thickness = 21.5 cm - 0.5 cm = 21 cm

Volume of hemisphere = 2/3πr3

⇒ 2/3 × 22/7 × 213

⇒ 2/3 × 22/7 × 9261 = 19404