Question : The length of the side of a cube is 5.6 cm. What is the volume of the largest sphere that can be taken out of the cube?
Option 1: 91.98 cm3
Option 2: 99.96 cm3
Option 3: 96.98 cm3
Option 4: 90.69 cm3
Correct Answer: 91.98 cm 3
Solution :
Diameter of the sphere $=$ Edge of the cube
⇒ $2 ×$ radius of sphere $= 5.6$ cm
⇒ The radius of sphere, $r$ $= \frac{5.6}{2} = 2.8$ cm
The volume of the sphere
$= \frac{4}{3} × π × r^3$
$=\frac{88}{21} × 21.952=91.98$ cm$^3$
Hence, the correct answer is 91.98 cm$^3$.
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