This is a level in which your monkey ball is supposed to roll up ramps that become longer and longer in a semi-circle. A spinning rod holds two platforms that wipe across the tops of the ramps. Therefore, if you don't make it over the ramp near its edge, there is a high chance that you will be knocked off the edge of the course by one of two guillotines.
As soon as the level starts, go as fast as you can through the right side of the pathway without falling off until you reach the first ramp. You need to reach the first ramp with enough speed, so you can pass through it as soon as possible, or as else the guillotine will knock you off if you don't do it quickly enough. Then, slow down, and progressively move while you keep track of when the guillotine passes and keeping track of your speed; so you can pass the ramps. The last one is harder than the first ones because it is so large, meaning you need strict timing and enough speed to pass before the guillotine hits you.
This is a strategy that involves being hit by the guillotine on purpose at a certain angle, so you get knocked off to the side where the goal is located. Pause buffering may be useful for this strategy.