SURDFACE AREA AND VOLUME OF CYLINDER WORKSHEET

Work out the height of each cylinder below.

Problem 1 :

Solution

Problem 2 :

Solution

Problem 3 :

If a cylinder has a surface area of 100 cm² and its height is 4 times the radius, what is the height of the cylinder ?

Solution

Problem 4 :

The radius and height of a cylinder are in the ratio 11 : 7. If the curved surface area of cylinder is 121 square cm. Find the radius and height of the cylinder.

Solution

Problem 5 :

The lateral surface area of a right circular cylinder of radius 3 cm is 94.2 cm². The height of the cylinder is ?

Solution

Work out the radius of each cylinder below

Problem 6 :

Solution

Problem 7 :

Solution

Problem 8 :

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

Solution

Problem 9 :

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 10 :

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 11 :

A can of baked beans has a paper label wrapped around the outside. The can has a height of 11 cm and radius of 4.5 cm. The label covers the entire height of the can. The label has a 1 cm overlap vertically so that it can be stuck together calculate the area of the label

Solution

Problem 12 :

The cylinder and cube below have the same surface area.

Find the side length of the cube, x.

Solution

Problem 13 :

A tank on the road roller is filled with water to make the roller heavy. The tank is a cylinder that has a height of 6 feet and a radius of 2 feet. One cubic foot of water weighs 62.5 pounds. Find the weight of the water in the tank

Solution

Problem 14 :

A cylinder has a surface area of 1850 square meters and a radius of 9 meters. Estimate the volume of the cylinder to the nearest whole number.

Solution

Problem 15 :

Water flows at 2 feet per second through a pipe with a diameter of 8 inches. A cylindrical tank with a diameter of 15 feet and a height of 6 feet collects the water.

a) what is the volume, in cubic inches, of water flowing out of the pipe every second.

b) What is the height, in inches, of the water in the tank after 5 minutes?

c) How many minutes will it take to fill 75% of the tank?

Solution

Problem 16 :

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