Firstly understand that friction will act up the surface of the bowl.
Now, assuming its crawling very slowly, its acceleration a = 0.
So
f = mgsin
where
is the angle between the line joining the insect to the bowl's centre and the vertical.
As the insect rises,
increases and so does sin
. f increases accordingly. However, f can attain a maximum value of
mgcos
.
f
mgcos
mgsin

mgcos
tan


So after tan
=
, the insect can't crwal further as mgsin
would exceed even the maximum value of f.
Height risen above the bowl bottom
h=R(1-cos
)=
Substitute the value of coeff of friction to get answer.