The surface area of a balloon being inflated, changes at a rate proportional to time `t`. If initially its radius is 1 unit and after 3 secons it is 2 units, find the radius after t seconds.

The surface area of a balloon, being inflated, changes at a rate proportional to time t. (i) If initially its radius is 1 unit and after 3 seconds it is 2 units, find the radius after time t. (ii) If initially its radius is 3 units and after 2 seconds it is 5 units, find the radius after t seconds.

The surface are of a balloon being inflated changes at a constant rate.If initially,its radius is 3units sand after 2 seconds,it s5 units,find the radius after t seconds.

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

The volume of a spherical balloon being inflated changes at a constant rate.If initially its radius is 3 units and after 3 seconds it is 6 units.Find the radius of the balloon after 1 seconds.

At time t>0, the volume of a sphere is increasing at a rate proportional to the reciprocal of its radius.At t=0 ,the radius of the sphere is 1 unit and at t=15 the radius of 2 units.

Find the surface area of a sphere when its volume is changing at the same rate as its radius.

Area A of a blot of increasing in such a way that, after t second , A=3t+t^(3) . Rate at which the blot is expanding after 2 seconds is

A right circular cone with radius R and height H contains a liquid which evaporates at a rate proportional to its surface area in contact with air (proportionality constant k is positive). suppose that r(t) is the radius of the liquid cone at time t.The time after which the cone is empty is

A right circular cone with radius R and height H contains a liquid which evaporates at a rate proportional to its surface area in contact with air (proportionality constant k is positive). suppose that r(t) is the radius of the liquid cone at time t.The radius of water cone at t=1 is