Question : The volume of the largest sphere (in cm3) that can be drawn inside a cube of side 18 cm is:
Option 1: 972$\pi$
Option 2: 1166$\pi$
Option 3: 36$\pi$
Option 4: 288$\pi$
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Correct Answer: 972$\pi$
Solution :
Diameter of the sphere = Side of cube = 18 cm
So, radius of the sphere = $\frac{18}{2} = 9$ cm
Volume of sphere = $\frac{4}{3}\pi r^3$
= $\frac{4}{3}×\pi×9×9×9$ = $972\pi$ cm
3
Hence, the correct answer is 972$\pi$.
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