Worksheet: Surface Area of a Cylinder

Q1:

The given diagram shows a cylinder of radius and height .

An expression for the total surface area of the cylinder is .

What does the term represent?

• Athe curved surface area
• Bthe area of a circular face
• Cdouble the area of the curved surface
• Dthe area of the two circular faces
• Ethe area of the base of the cylinder

Factor the total surface area expression completely.

• A
• B
• C
• D
• E

Q2:

Determine, to the nearest tenth, the lateral surface area of the cylinder shown.

Q3:

Determine, to the nearest tenth, the lateral surface area of the cylinder shown.

Q4:

Determine, to the nearest tenth, the surface area of the cylinder shown.

Q5:

Determine, to the nearest tenth, the surface area of the cylinder shown.

Q6:

Find, to the nearest tenth, the total surface area of a cylinder with a radius of 4 in and a height of 8 in.

Q7:

Find, to the nearest tenth, the total surface area of a cylinder with a radius of 3 in and a height of 25 in.

Q8:

The surface area, , of a cylinder in terms of its radius, , and height, , is given by . Express the radius, , of a cylinder with a height of 4 feet as a function of . Find, to the nearest foot, the radius of such a cylinder whose surface area is 200 square feet.

• A , 8 feet
• B , 6 feet
• C , 6 feet
• D , 4 feet
• E , 7 feet

Q9:

Find, to the nearest tenth, the total surface area of this cylinder.

Q10:

Find, to the nearest tenth, the total surface area of this cylinder.

Q11:

Determine, to the nearest tenth, the surface area of a cylindrical barrel of diameter 22 inches and height 2.2 inches.

Q12:

Determine, to the nearest tenth, the surface area of a cylindrical barrel of diameter 8 inches and height 11.6 inches.

Q13:

A cylinder has a circumference of in and a height of 33 in. What is the surface area of the cylinder in terms of ?

• A in2
• B in2
• C in2
• D in2
• E in2

Q14:

Two similar cylinders have radii of 3 inches and 20 inches. What is the ratio of the surface area of the smaller cylinder to that of the larger one?

• A
• B
• C
• D
• E

Q15:

There are two cylinders. The first is of radius 7 and height 4 and the second is of radius 6 and height 7. Which cylinder has the larger surface area?

• Athe second cylinder
• Bthe first cylinder

Q16:

Jacob wants to wrap a solid cylinder with a sheet of paper. The radius of the cylinder is 10 cm and its length is 40 cm. The dimensions of the sheet of paper are . What proportion of the cylinder will he be able to cover? Give your answer to two decimal places.