Worksheet: Volume and Surface Area of a Cylinder

In this worksheet, we will practice finding the surface area of a cylinder given its volume and vice versa.

Q1:

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 centimetre.

Q2:

A cylinder has a surface area of 2 5 6 𝜋 square inches and a height of 8 inches. Determine its volume in terms of 𝜋 .

  • A 1 2 8 𝜋 in3
  • B 2 , 0 4 8 𝜋 in3
  • C 2 5 6 𝜋 in3
  • D 5 1 2 𝜋 in3
  • E 6 4 𝜋 in3

Q3:

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 centimetre.

Q4:

Find the surface area of a circular cylinder whose volume is 1‎ ‎256 cm3 and whose height is 16 cm. Use 𝜋 = 3 . 1 4 .

Q5:

A cylinder has a curved surface area of 126 cm2 and a diameter of 38.2 cm. Find its volume, giving your answer to the nearest cubic centimetre.

Q6:

A cylinder has a surface area of 2 0 8 𝜋 square inches and a height of 22 inches. Determine its volume in terms of 𝜋 .

  • A 1 7 6 𝜋 in3
  • B 4 , 5 7 6 𝜋 in3
  • C 6 3 5 𝜋 in3
  • D 3 5 2 𝜋 in3
  • E 8 8 𝜋 in3

Q7:

Find the surface area of a circular cylinder whose volume is 1‎ ‎695.6 cm3 and whose height is 15 cm. Use 𝜋 = 3 . 1 4 .

Q8:

A cylinder has a volume of 540 cm3 and a height of 8.4 cm. Find the curved surface area of this cylinder to the nearest square centimetre.

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