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 solid is in the form of a cylinder with hemispherical ends. The total height of the solid is 19 cm and the diameter of the cylinder is 7 cm. Find volume and total surface area of the solid.

Solution

Problem 7 :

A circus tent is cylindrical upto a height of 3 m and conical above it. If the diameter of the base is 105 m and the slant height of the conical part is 53 m, find the total canvas used in making the tent

Solution

Problem 1 :

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 2 :

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 3 :

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 4 :

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

Problem 5 :

The radius of the base of a cylinder is 39 in. and its height is 33 in. Find the surface area of the cylinder in terms of π.

Solution

Problem 6 :

Andrew is planning to cover the lateral surface of a large cylindrical garbage can with decorative fabric for a theme party. The can has a diameter of 3 feet and a height of 3.5 feet. How much fabric does he need if he covers the lid but not the bottom of the can?

Solution

Problem 7 :

Find the surface area of the composite figure.

Solution

Problem 8 :

How much salsa is missing from the jar?

Solution

Problem 9 :

About how many gallons of water does the water cooler bottle contain? (1 ft³ ≈ 7.5 gal)

a) 5.3 gal     b) 10 gal     c)  17 gal      d) 40 gal

Solution

Problem 10 :

A cylindrical swimming pool has a diameter of 16 feet and a height of 4 feet. About how many gallons of water can the pool contain? Round your answer to the nearest whole number. (1 ft³ ≈ 7.5 gal)

Solution

Work out the radius of each cylinder below

Problem 1 :

Solution

Problem 2 :

Solution

Problem 3 :

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

Solution

Problem 4 :

The circumference of the base of a right circular cylinder is 220 cm. If the height of the cylinder is is 2 m, find the total  surface area of cylinder

Solution

Problem 5 :

A roller of diameter 70 cm and the length 2 m is rolling on the ground. What is the area by the roller in 50 revolutions ?

Solution

Problem 6 :

A ganza is a percussion instrument used in samba music.

a. Find the surface area of each of the two labeled ganzas.

b. The weight of the smaller ganza is 1.1 pounds. Assume that the surface area is proportional to the weight. What is the weight of the larger ganza?

Solution

Problem 7 :

The cut wedge represents one-eighth of the cheese.

a. Find the surface area of the cheese before it is cut.

b. Find the surface area of the remaining cheese after the wedge is removed. Did the surface area increase, decrease, or remain the same?

Solution

Problem 8 :

The lateral surface area of a cylinder is 184 square centimeters. The radius is 9 centimeters. What is the surface area of the cylinder? Explain how you found your answer.

Solution

Problem 9 :

The lateral surface area of a right circular cylinder of height 7 cm is 44 cm². Find the diameter of the base of the cylinder ?

Solution