My Dashboard

Lesson: Finding the Surface Area of a Cylinder

This lesson explains how to calculate the surface area of a cylinder by adding the areas of the two circular bases and the area of the curved surface using the formula 2πrh + 2πr^2 and solve word problems in a real-world context.

Video: Surface Areas of Cylinders

Worksheet: Finding the Surface Area of a Cylinder • 19 Questions

Q1:

Diana and Steven were calculating the surface area of a cylinder of height 28 and radius 9. Diana found the surface area to be , and Steven found it to be . Who is correct?

ASteven
BDiana

Q2:

Diana and Steven were calculating the surface area of a cylinder of height 16 and radius 6. Diana found the surface area to be , and Steven found it to be . Who is correct?

ADiana
BSteven

Q3:

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

Q4:

If the height of a cylinder is doubled, will its surface area also double?

Ano
Byes

Q5:

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

Q6:

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

Q7:

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

Q8:

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

Q9:

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

Q10:

A cylinder has a curved surface area of 656 cm² and a diameter of 10.2 cm. Find its volume, giving your answer to the nearest cubic centimeter.

A328 cm³
B
1 673
cm³
C
6 712
cm³
D
3 346
cm³

Q11:

A cylinder has a volume of 997 cm³ and a height of 2.2 cm. Find the curved surface area of this cylinder to the nearest square centimeter.

A235 cm²
B166 cm²
C75 cm²
D83 cm²

Q12:

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

Q13:

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

Q14:

Determine, to the nearest tenth, the surface area of a tin can with a radius of 8 centimeters and a height of 16 centimeters.

Q15:

Mr. Jackson baked a cake of height 2 inches and diameter 9 inches. Given that he covered the top and the sides of the cake with chocolate frosting, determine, to the nearest tenth, the area covered with frosting.

Q16:

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

Q17:

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

Q18:

Find the surface area of a circular cylinder whose volume is 1 256 cm³ and whose height is 16 cm. Use .

Q19:

Find the surface area of a cylinder whose base is a circle of radius 21 cm and whose height is 9 cm. Use .

Preview