VOLUME AND SURFACE AREA OF A CYLINDER PRACTICE PROBLEMS

Problem 1 :

The radius and height of a cylinder are in the ratio 5:7 and the volume is 550 cm³. Find its total surface area.

Solution

Problem 2 :

A closed cylindrical tank of radius 7 m and height 3 m is made from a sheet of metal. How much sheet of metal is required?

Solution

Problem 3 :

A swimming pool is 40 m in length, 20 m in breadth and 5 m in depth. Find the cost of cementing its four walls and floor at the rate of 10 per m².

Solution

Problem 4 :

Two cylinders of same volume have their radii in the ratio 1:6. Find the ratio of their heights.

Solution

Problem 5 :

The curved surface area of a cylindrical pillar is 264 m² and its volume is 924 m³. The ratio of its diameter to its height is.

a) 3:7         b) 7:3        c) 6:7         d) 7:6

Solution

Problem 6 :

A school provides milk to the students daily in a cylindrical glasses of diameter 7 cm. if the glass is filled with milk up to height of 12 cm, find how many liters of milk is needed to serve 1600 students.

Solution

Problem 7 :

If the radius of a right circular cylinder is decreased by 50% and its height is increased by 60%, its volume will be decreased by

a) 10%    b) 60%    c) 40%    d) 20%

Solution

Problem 8 :

The ratio of radii of two cylinders is 1:2 and the heights are in the ratio 2:3. Find the ratio of their volumes.

Solution

Problem 9 :

If the capacity of a cylindrical tank is 1848 m³ and the diameter of its base is 14 m. find the depth of the tank.

Solution