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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


Team Careers360 1st Jan, 2024
Answer (1)
Team Careers360 20th Jan, 2024

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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