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 gt 0`). Find the time after which the cone will be empty.

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

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.

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

Find the total surface area of a right circular cone with radius 6cm and height 8cm.

A right circular cone, with radius and height 8 and 6 respectively , is cut parallel at the middle of the height to get a smaller cone and a frustum. By what percentage, to the nearest integer, is the combined total surface area of the smaller cone less than of the frustum?

The radius and slant height of a cone are in the ratio of 4:7. If its curved surface area is 792 c m^2, find its radius. (U s epi=(22)/7)

If a right circular cone has a lateral surface area of 6pi and a slant height of 6, what is the radius of the base ?

A cone of radius R and height H , is hanging inside a liquid of density rho by means of a string as shown in figure. The force due to the liquid acting on the slant surface of the cone is

The surface area of a spherical 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.

A right circular cone is 3.6 cm high and radius of its base is 1.6 cm. It is melted and recast into a right circular cone with radius of its base as 1.2 cm. Find its height.