### Instruction: The diameter of a cone is 30 decimeters. If the height is two times the radius, what is the volume of the cone in cubic decimeters?### Response: I know that the volume of a cone is given by the formula V = (1/3)πr^2h, where r is the radius and h is the height.
Since the diameter is 30 decimeters, the radius must be half of that, so r = 15 decimeters.
The problem also tells me that the height is two times the radius, so h = 2r = 2(15) = 30 decimeters.