If a cubical container of length, breadth and height each of 10 cm can contain exactly 1 litre of water, then a spherical container of radius 10.5 cm can contain (a) not more than 4 litres of water (b) more than 4 litres but less than 4-5 litres of water (c) more than 4-5 litres but less than 5 litres of water (d) more than 5 litres of water
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Step-by-step explanation:
Given a = 10cm
Volume of cube = a³=10×10×10=1000cm³= 1 litre
Radius,r = 10.5cm
Volume of sphere = 4/3πr³=4/3×22/7×10.5×10.5×10.5= 4851cm³
1000cm³=1 litre
1000cm³×4.851= 1 litre×4.581
4851cm³=4.851 litres
Therefore, the spherical container can contain (c) more than 4.5 litres but less than 5 litres
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