Here's 1......
V = (pi * h)/3 * (R^2 + Rr + r^2) and we have
224pi^3 = [(pi * 6)/3] [R^2 + R(12-R) + (12- R)^2]
224 pi^2 = 2 [ R^2 + 12R - R^2 + 144 - 24R + R^2]
224pi^2 = 2 [R^2 - 12R + 144]
112pi^2 = [R^2 - 12R + 144] .....solving this equation for R we get that R ≈ 37.582
This is clearly impossible.....but.....I solved it based on the way you have written it........did you make a mistake somewhere???
[ Is 224pi^3 supposed to be something else???]
