The volume of water V cm3, in a container is given by
, where h cm is the
height of the water in the container. Water is poured into the container at the
rate of 15cm3s-1. Find the rate of change of the height
of water in cms-1, at the instant when its height is 3cm.
A wire of length 88 cm is bent to form a circle. When the wire is heated, the length increases at the rate of 0.3 cms-1.
(a) Calculate the rate of change in the radius of the circle.
(b) Hence, calculate the radius of the circle after 5s.