A cylindrical jar without a lid has to be constructed using a given surface area of a metal sheet if the capacity of the jar times the height of the jar The value of k is

A cylindrical tin can, open at the top, of a given capacity has to be constructed, show that the amount of the tin required will be least if the height of the can is equal to its radius.

A cylindrical tin can open at the top , of a given capacity has to be constructed . Show that the amount of the tin required will be least if the height of the can is equal to its radius

A closed cylindrical container, the radius of which is 7 cm and height 10 cm is to be made out of a metal sheet. Find (a) the area of metal sheet required . (b) the volume of the cylinder made. (c ) the cost of painting the lateral surface of the cylinder at the rate of Rs. 4 per cm^(2) .

Two identical tall jars are filled with water to the brim. The first jar has a small hole on the side wall at a depth h//3 and the second jar has a small holw on the side wall at a depth of 2h//3 , where h is the height of the jar. The water issuing out from the first jar falls at a distance R_(1) from the base and the water issuing out from the second jar falls at a distance R_(2) From the base. The correct relation between R_(1) and R_(2) is

A conical tent of given capacity has to be constructed. The ratio of the height to the radius of the base for the minimum area of canvas required for the tent is

An open metallic bucket is the shape of a frustum of a cone mounted on a hollow cuylinderical base made of the same metallic sheet . The surface area of the metallic sheet used is equal to curved surface area of frustum of a cone + area of circular base + curved surface area of cylinder.

An open metallic bucket is the shape of a frustum of a cone mounted on a hollow cuylinderical base made of the same metallic sheet . The surface area of the metallic sheet used is equal to curved surface area of frustum of a cone + area of circular base + curved surface area of cylinder.

A right cylindrical vessel of a given capacity is formed using least possible material.Then the ratio of the height to the radius of the base is