# Worksheet: Surface Areas of Cylinders

In this worksheet, we will practice calculating surface areas of cylinders and solving word problems in real-world context.

**Q4: **

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

**Q5: **

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

**Q6: **

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

- AMadison
- BDaniel

**Q7: **

Find the diameter of the base of a cylinder if the surface area is square centimeters and its height is 23 centimeters.

**Q8: **

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 the base of the cylinder
- Cthe area of a circular face
- Dthe area of the two circular faces
- Edouble the area of the curved surface

Factor the total surface area expression completely.

- A
- B
- C
- D
- E

**Q9: **

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

**Q10: **

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

**Q11: **

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

- AMason
- BIsabella

**Q12: **

A cylinder has a surface area of square inches and a height of 8 inches. Determine its volume in terms of .

- A
in
^{3} - B
in
^{3} - C
in
^{3} - D
in
^{3} - E
in
^{3}

**Q15: **

A cylinder has a volume of 997 cm^{3} and a height of
2.2 cm. Find the curved surface area of
this cylinder to the nearest square centimeter.