The volume of spherical ballon being inflated changes at a constant rate.If initially its radius is 3 units and after 3 seconds it ios 6 units.Find the radius of the ballon after t second.

The surface area of a spherical ballon is increasing at the rate of 2 cm^2 /sec. At what rate the volume of the ballon is increasing when radius of the ballon is 6 cm?

IF the volume of a spherical balloon is increasing at the rate of 900cm^3//sec , then the rate of change of radius of balloon at an instant when radius is 15cm [in cm//sec ] is

Water is being poured into a vessel in the form of an inverted right circular cone of semi vertical angle 45^@ in such a way that the rate of change of volume at any moment is proportional to the area of the curved surfaces which is wet at that moment.Initially the vessel is full to a height of 1 cm and after 1 second the height is 3 cm.Show that the height of the water after 3 seconds will be 7 cm.

A circle has radius 3 units and its centre lies on the line y=x-1. Find the equation of the circle if it passes through (7,3).

A body moves with a uniform acceleration and its initial velocity is 5 m/s . After 10 seconds, its velocity becomes 25 m/s . Find the acceleration of the body.

A spherical balloon is being inflated so that its volume increase uniformaly at the rate of 40 cm^(3)//"minute" . The rate of increase in its surface area when the radius is 8 cm, is

The volume of the spherical ball is increasing at the rate of 4 pi cc/sec. Find the rate at which the radius and the surface area are changing when the volume is 288 pi cc?

The volume of a sphere increse at the rate of 20 cm^3 /sec. Find the rate of change of its surface area when its radius is 5cm.

The rate constant of a first order reaction is 3 xx 10^(-6) per second. If the initial concentration is 0.10 M , the initial rate of reaction is