CAT 2017 [slot 1] Question with solution 19

The height of the cylinder (h) = 3

The volume = $9 \pi$

$\pi r ^ { 2 } h = 9 \pi \Rightarrow r = \sqrt { 3 }$

The radius of the ball (R) = 2

The height of O, the centre of the ball, above the line representing the top of the cylinder is say a. (a = 1)

Therefore, the height of the topmost point of the ball from the base of the cylinder is h + a +R = 3 + 1 + 2 = 6