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

The radius of a circular cone is R and its height is H. The volume of cone is :

A right circular cone of radius R and height 2 R is placed on a hemisphere of radius R . Locate c.m. of the combined mass from O .

spherical rain drop evaporates at a rate proportional to its surface area.The differential equation corresponding to the rate of change of the radius of the rain drop if the constant of proportionality is K>0 is

The cone of radius R and height H is hanging inside a liquid of density by means of a string a shwon in the figure.

A right circular cone has height 8 cm. If the radius of its base is 6 cm, then what is its total surface area ?

The radius of a right circular cone is 3 cm and its height is 4 cm. The total surface area of the cone is

An inverted cone of height H , and radius R is pointed at bottom. It is completely filled with a volatile liquid. If the rate of evaporation is directly proportional to the surface area of the liquid in contact with air (constant of proportionality k gt 0). Find the time in which whole liquid evaporates.