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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 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 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:

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.