The Ferris Wheel at the school fair has radius of 12 metres. It revolves at the rate of one revolution per 2 minutes. How many seconds does it take a rider to travel from the bottom of the wheel to a point 6 vertical metres above the bottom?
The diameter of a solid metallic right circular cylinder is equal to its height. After cutting out the largest possible solid sphere ^@S^@ from the cylinder, the remaining material is recast to form a solid sphere ^@S_1^@. What is the ratio of the radius of the sphere ^@S^@ to that of sphere ^@S_1 ?^@
Katie is participating in a race. The probability that she will come first in the race is 0.1. The probability that she will come second in the race is 0.25. The probability that she will come in 3rd is 0.5, and the probability that she will be 4th is 0.15. What is the probability that she will win 2nd position or win the race?