The height of a falling object to Earth (barring air resistance) is , where i is the initial height and t is the time in seconds after the object is dropped. After how many seconds will an object land on the ground if it is dropped from a plane 3,600 feet in the air?
Solution to yesterday’s problem:
The volume of a cone is . So the volume of the original cone is
The top 5 cm of the cone is cut off. Since the height is half the original height, the radius is half the original radius. The volume of the smaller cone is
Subtracting the smaller cone’s volume from that of the larger cone, we get
So the volume of the frustum is , or approximately 78.54 cubic cm.