Question

1. A street light is mounted on top of a 6-meter-tall pole.A man 2 m tall walks away from the pole with a speed of 1.5 m/s along a straight path.How fast is the tip of his shadow moving when he is 10 m from the pole ?

2. A cone-shaped paper drink is made to be made to hold 27 cm^3 of water. Find the height and radius of the cup that will use the smallest amount of paper.

3. A piece of wire 10 m long is cut into two pieces . One piece is bent into a square and the other is bent into a circle . How should the wire be cut so that the total area enclosed is maximum ?

Answer 1