A tennis ball, starting from rest, rolls down the hill in the drawing. At the end of the hill the ball becomes airborne, leaving at an angle of `37^(@)` with respect to the ground treat the ball as a thin-walled spherical shell.
Q. Maximum height reached by ball `H` above ground is

Options

A. `(9h)/(35)`
B. `(18h)/(35)`
C. `(18h)/(25)`
D. `(27h)/(125)`

Explanation

`H=(v^(2)sin^(2)sin37^(@))/(2g)`
`=((6gh//5)(3//5)^(2))/(2g)=(27h)/(125)`