θ1. The problem statement, all variables and given/known data The attached diagram depicts a sphere with several variables: the height of the cylinder, the radius of the cylinder and an angle. All that has been given to me is the hypotenuse of a triangle used. 2. Relevant equations To my knowledge I was told to use 2sinθcosθ=sin2θ 3. The attempt at a solution Originally I attempted to get everything in terms of different variables and then substitute them into an equation to solve for one variable. Therefore, I used Pythagoras's Theorem and got: 8^2=y^2+r^2. I used y^2 to denote the unknown height within the triangle. From here I used trigonometric functions and assumed the triangle was right angled. From here I got cosθ=y/8 and sinθ=r/8. And after this I tried substituting and it got very messy. I tried substituting for one variable, then re-arranging both trig equations to get one variable and then I attempted to eliminate it to no avail. Any help would be highly appreciate.