question_answer

Three cylinders each of height \[16\text{ }cm\] and radius of base \[\text{4 }cm\] are placed on a plane so that each cylinder touches the other two. What is the volume of the region enclosed between the three cylinders?

A)  \[98\,\left( 4\sqrt{3}-\pi  \right)\,c{{m}^{3}}\]

B)  \[98\,\left( 2\sqrt{3}-\pi  \right)\,c{{m}^{3}}\]

C)  \[98\,\left( \sqrt{3}-\pi  \right)\,c{{m}^{3}}\]

D)  \[128\,\left( 2\sqrt{3}-\pi  \right)\,c{{m}^{3}}\]