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Out of 4 identical balls of radius r, 3 ...

Out of 4 identical balls of radius r, 3 balls are placed on a plane such that each ball touches the other two balls.The `4^(th)` ball is placed on them such that this ball touches all the three balls. What is the distance of centre of `4^(th)` ball from the plane?

A

`2 sqrt(( 2)/( 3)) ` r unit

B

`( sqrt( 3) + 2 sqrt(2))/( sqrt( 2)) r ` unit

C

`( r )/( 3-2 sqrt( 2)) ` unit

D

`( sqrt( 3) + 2 sqrt( 2))/( sqrt( 3)) ` r unit

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