Question : How many litres of water can a hemispherical bowl of diameter 21 m hold? (1 m3 =1000 litres)
Option 1: 2100000 litres
Option 2: 2425500 litres
Option 3: 2322500 litres
Option 4: 2250500 litres
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Correct Answer: 2425500 litres
Solution :
Given: Diameter = 21 m
Radius = $\frac{21}{2}$ m
Volume of hemisphere
= $\frac{2}{3}\pi r^3$
= $\frac{2}{3}\times\frac{22}{7} \times\frac{21}{2} \times\frac{21}{2} \times\frac{21}{2}$
= $2425.5$ m
3
Given: 1 m
3
=1000 litres
So, 2425.5 m
3
= 2425.5 × 1000 = 2425500 litres
Hence, the correct answer is 2425500 litres.
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