Abarrel shaped like a cylinder is laid on its side and rolled up a ramp that is
180ft long. the barrel has a circular base that turns 45 times in being rolled up the ramp. what is the diameter of the circular base?

White shapes and black shapes are used in a game. some of the shapes are circles. while the rest are squares. the ratio of the number of white shapes to the number of black shapes is 5: 11. the ratio of the number of white cicrles to the number of white squares is 3: 7. the ratio of the number of black circles to the number of black squres is 3: 8. work out what fraction of all the shapes are circles.