Question : The length of the side of a cube is 2.8 cm. What is the volume of the largest sphere that can be taken out of the cube?
Option 1: 11.50 cm3
Option 2: 1.15 cm3
Option 3: 11.55 cm3
Option 4: 115 cm3
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Correct Answer: 11.50 cm 3
Solution :
The length of the side of a cube = 2.8 cm.
The diameter of the largest sphere that can be taken out of the cube = 2.8 cm
So, required radius = 1.4 cm
Volume of sphere = $\frac{4}{3}\pi r^3$
= $\frac{4}{3}\times \frac{22}{7}\times {1.4}^3$
= 11.50 cm
3
Hence, the correct answer is 11.50 cm
3
.
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