Home
Class 12
MATHS
A cylindrical gas container is closed at...

A cylindrical gas container is closed at the top and open at the bottom. If the iron plate of the top is `5/4` times as thick as the plate forming the cylindrical sides, the ratio of the radius to the height of the cylinder using minimum material for the same capacity is (A) `3:4` (b) `5:6` (c) `4:5` (d) none of these

Text Solution

AI Generated Solution

Promotional Banner

Similar Questions

Explore conceptually related problems

Two cylindrical jars have their diameters in the ratio 3:1, but height 1:3. Then the ratio of their volumes is (a) 1:4 (b) 1:3 (c) 3:1 (d) 2:5

A right circular cylinder and a right circular cone have the same radius and the same volume. The ratio of the height of the cylinder to that of the cone is (a) 3:5 (b) 2:5 (c) 3:1 (d) 1:3

If the height of a cylinder is doubled and radius remains the same, then volume will be (a) doubled (b) halved (c) same (d) four times

A closed cylindrical can has to be made with 100m^(2) of plastic. If its volume is maximum, then the ratio of its radius to the height is

The radius of the base of a cylindrical water-drum open at the top at the top is 35 cm and height 1.3m. Find the inner surface area of the water-drum.

A liquid is kept in a cylindrical vessel which is rotated along its axis. The liquid rises at the side. If the radius of the vessel is 5 cm and the speed of rotation is 4 rev//s , then the difference in the height of the liquid at the centre of the vessel and its sides is

A liquid is kept in a cylindrical vessel which is rotated along its axis. The liquid rises at the side. If the radius of the vessel is 5 cm and the speed of rotation is 4 rev//s , then the difference in the height of the liquid at the centre of the vessel and its sides is

A cylindrical drum, open at the top, contains 30 litres of water. It drains out through a small opening at the bottom. 10 litres of water comes out in time t_1 , the next 10 litres in a further time t_2 and the last 10 litres in a further time t_3 Then,

The heights of two cones are same and equal to 6cm .Their radii are 4cm and 3cm .They are melted and recast in to a cylinder of base radius 5cm.Find the height of this cylinder.

A metal container in the form of a cylinder is surmounted by a hemisphere of the same radius. The internal height of the cylinder is 7 m and the internal radius is 3-5 m. Calculate : the internal volume of the container in m?.