2h^3=100 so h^3=50 so h=cube root of 50
Use cosine rule to find AD
AD2=8^2+7^2-2*8*7*cos80=93.55 so AD=9.67
Then cut OAD into 2 right angled triangles with angles 80 at centre. trig gives r=4.836/sin80=4.91
Think their answer must be wrong. Examined everything.