SURFACE 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

Problem 6 :

How much paper is used for the label on the can of peas ?

Find the lateral surface area of the cylinder ?

You earn $0.01 for recycling the can. How much can you expect to earn for recycling the tomato can? Assume that the recycle value is proportional to the surface area.

Solution

Problem 7 :

The truck’s tank is a stainless steel cylinder. Find the surface area of the tank.

Solution

Problem 8 :

Describe and correct the error in finding the surface area of the cylinder

Solution

Problem 9 :

What percent of the surface area of the ottoman is green (not including the bottom)?

Solution

Problem 10 :

You make two cylinders using 8.5-inch by 11-inch pieces of paper. One has a height of 8.5 inches and the other has a height of 11 inches. Compare the surface areas of the cylinders.

Problem 1 :

Work out the radius of each cylinder below

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

Problem 1 :

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 2 :

The cylinder and cube below have the same surface area.

Find the side length of the cube, x.

Solution

Problem 3 :

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 4 :

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 5 :

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 6 :

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

Problem 7 :

The radii of two right circular cylinders are in the ratio 4 : 5 and their heights are in the ratio 3 : 1. What is the ratio of their curved surface areas ?

Solution