Question 22Three mutually tangent spheres of radius $1$ rest on a horizontal plane. A sphere of radius $2$ rests on them. What is the distance from the plane to the top of the larger sphere?$3 + \dfrac{\sqrt{30}}{2}$$3 + \dfrac{\sqrt{69}}{3}$$3 + \dfrac{\sqrt{123}}{4}$$\dfrac{52}{9}$$3 + 2\sqrt{2}$