Question : The length of the side of a cube is 4.2 cm. What is the volume of the largest sphere that can be taken out of the cube?
Option 1: 26.40 cm3
Option 2: 20.50 cm3
Option 3: 38.80 cm3
Option 4: 48.60 cm3
Correct Answer: 38.80 cm 3
Solution :
Given, the length of the side of a cube is 4.2 cm
So, the Diameter of the largest sphere that can be taken out of the cube = 4.2 cm
Then, the required radius, $r$ = 2.1 cm
We know, volume of sphere = $\frac{4}{3} \pi r^3$
= $\frac{4}{3}\times \frac{22}{7} \times 2.1^3$
= $38.80$ cm
3
Hence, the correct answer is 38.80 cm
3
.
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