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Worksheet: Volume and Surface Area of a Cylinder

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 centimeter.

  • A 6 712 cm3
  • B 3 346 cm3
  • C 328 cm3
  • D 1 673 cm3

Q2:

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 centimeter.

  • A 66 cm3
  • B 2 407 cm3
  • C 63 cm3
  • D 1 203 cm3

Q3:

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

Q4:

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

Q5:

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 .

Q6:

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 .

Q7:

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 centimeter.

  • A 75 cm2
  • B 83 cm2
  • C 235 cm2
  • D 166 cm2

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 centimeter.

  • A 28 cm2
  • B 119 cm2
  • C 338 cm2
  • D 239 cm2