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 has a fixed radius r and a variable height h. Find the rate of change of its curved surface S w.r.t. change in the height.

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 gt 0 is

A solid right circular cylinder has its radius equal to half of its height. Find the rate of change of its total surface area w.r.t. a change in the radius r.

The radius of the slant height of a cone are in the ratio of 4:7. if its curved surface area is 792 cm^2 . Find its radius.

For a right circular cone, slant height = 10 cm, radius of base = 5 cm. Find the area of its lateral surface.

For a right circular cone, slant height = 10 cm, radius of base = 5 cm. Find the area of its lateral surface.

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

A water tank has the shape of an inverted right circular cone with its axis vertical and vertex lowermost. Its semi-vertical angle is tan^-1(0.5) . Water is poured into it at a constant rate of 5 m^3/h . Find the rate at which the level of the water is rising at the instant when the depth of water in the tank is 4 m .

A cone has a fixed radius r and a variable height h. Find the rate of change of its curved surface S w.r.t change in the radius.

A right circular cone is 3.6 cm high and the 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.