Calculate the amount of liquid (in litres) that can be filled into a hemispherical pot having a radius of 21 cm. (Taken π = 22/7)
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Correct answer: D
Explanation
The correct answer is option 4 i.e 19.404.
Volume of hemisphere = (2/3) × π × r³
Radius = 21 cm, π = 22/7
Volume = (2/3) × (22/7) × (21³)
⇒ (2/3) × (22/7) × 9261
⇒ (2/3) × 22 × 1323 = (2 × 29106) / 3 = 58212 / 3 = 19404 cm³
1 litre = 1000 cm³
So, 19404 ÷ 1000 = 19.404 litres