Question : The length of the side of a cube is 1.4 cm. What is the volume of the largest sphere that can be taken out of the cube?
Option 1: 1.44 cm3
Option 2: 3.26 cm3
Option 3: 2.66 cm3
Option 4: 5.64 cm3
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Correct Answer: 1.44 cm 3
Solution :
Length of side of cube = 1.4 cm
So, the diameter of the largest sphere = 1.4 cm
The radius of the same, $r$ = 0.7 cm
Volume of sphere
= $\frac{4\pi r^3}{3}$
= $\frac{4\pi (0.7)^3}{3}$
= 1.44 cm
3
Hence, the correct answer is 1.44 cm
3
.
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