A right circular cone is inscribed inside a sphere of radius R such that the base of the cone lies on a plane passing through the center of the sphere. Find the height of the cone that gives it maximum volume.

The distance travelled by an object in time t is given by s = 2.5t2. The instantaneous speed of the object at t = 5 s will be:

The distance travelled by a car in 't' seconds is given by the equation d = 4t2 - 3. If the car started at 9:00 AM, what is the distance travelled by the car between 9:02 AM and 9:03 AM?