question_answer

The largest sphere is cut off from a cube of side 5 cm. The volume of the sphere will be:

A)  \[DM\bot BC\]                        

B)  \[AB=18cm,\]

C)  \[BC=12cm,\]                       

D)  \[DM=10cm,\]

Correct Answer: D

Solution :

As shown in figure, the largest sphere is such that its diameter is equal to length of cube or 2R = 5 cm. \[=2\pi rh\] \[=2\pi r(h+r)\] Volume \[=\frac{1}{3}\pi {{r}^{2}}h\]