A cone completely made of metal (i.e. it is not hollow) has a base radius of 18 cm, and height of 9 cm. If we melt it and recast it into a sphere, what will be the radius of the sphere?
The numbers 1 to 19 are written on 19 pieces of paper and dropped into a box. Three of them are drawn at random. What is the probability that the three pieces of paper picked have numbers that are in arithmetic progression?
n is a positive integer. Let's say that {n} denotes the sum of all the positive divisors of n except for n itself. For example, {4} = 1 + 2 = 3 and {8} = 1 + 2 + 4 = 7. What is {{{28}}}?
A cone completely made of metal (i.e. it is not hollow) has a base radius of 9 cm, and height of 36 cm. If we melt it and recast it into a sphere, what will be the radius of the sphere?