If a cubical container of length, breadth and height each of 10 cm can contain cxactly 1 litre of water, then a spherical container of radium 10l5 cm can contain

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Q: 36 (CAPF/2018)
If a cubical container of length, breadth and height each of 10 cm can contain cxactly 1 litre of water, then a spherical container of radium 10l5 cm can contain

question_subject: 

Science

question_exam: 

CAPF

stats: 

0,3,11,1,9,3,1

keywords: 

{'litres': [0, 0, 2, 1], 'cubical container': [0, 0, 0, 1], 'spherical container': [0, 0, 0, 1], 'litre': [2, 1, 1, 4], 'radium': [1, 1, 0, 1], 'water': [65, 15, 80, 129], 'length': [0, 0, 1, 0]}

The question states that a cubical container with dimensions 10 cm x 10 cm x 10 cm can hold exactly 1 litre of water. We are asked to determine how much water a spherical container with a radius of 10.5 cm can hold.

To compare the capacities of the two containers, we can use the formula to calculate the volume of a sphere: V = (4/3)πr^3, where V is the volume and r is the radius.

Plugging in the given radius of 10.5 cm into the formula, we get V = (4/3)π(10.5)^3.

Evaluating this equation, we find that the volume of the spherical container is approximately 1536.99 cubic centimeters.

To convert this volume into liters, we divide by 1000 (since 1 liter is equal to 1000 cubic centimeters).

1536.99 / 1000 = 1.53699 liters.

Now, looking at the options, we can see that option 3 states that the spherical container can hold "more than 4.5 liters but less than 5 liters of water." Since the calculated volume of 1.53699 liters falls within this range, option