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Worksheet: Surface Area of a Cylinder
Q4:
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
Q5:
A cylinder has a volume of 900 cm3 and a base with a diameter of 14 cm. Find the height of the cylinder to two decimal places.
Q6:
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.
Q7:
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
Q8:
A cylinder has a volume of cm3, and a radius of 11.9 cm. Find its height to the nearest centimeter.
- A 45 cm
- B 2 cm
- C 22 cm
- D 4 cm
Q9:
Find the diameter of the base of a cylinder if the surface area is square centimeters and its height is 23 centimeters.
Q10:
Find the surface area of a cylinder whose base is a circle of radius 21 cm and whose height is 9 cm. Use .
Q11:
Three tennis balls are packaged one on top of the other in a can. Which measure is greater, the canโs height or circumference?
- Athe canโs circumference
- Bthe canโs height
Q12:
A cylinder with a radius of 5 inches has a volume of cubic inches. Work out the height of the cylinder, giving your answer as a decimal.
Q13:
Calculate the radius of a cylinder with volume cm3 and height 11 cm.
Q14:
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
Q15:
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
Q16:
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
Q17:
Determine, to the nearest tenth, the surface area of a cylindrical barrel of diameter 22 inches and height 2.2 inches.
Q18:
If the height of a cylinder is doubled, will its surface area also double?
- Ano
- Byes
Q19:
Determine, to the nearest tenth, the surface area of the cylinder shown.