**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 area of the base of the cylinder
- Bdouble the area of the curved surface
- Cthe area of the two circular faces
- Dthe curved surface area
- Ethe area of a circular face

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, 7 feet
- B, 6 feet
- C, 4 feet
- D, 8 feet
- E, 6 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 in
^{2} - B in
^{2} - C in
^{2} - D in
^{2} - E in
^{2}

**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: **

Mr. Tyler 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.

**Q17: **

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.