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MathsAges 16-18

Volume of cylinders & cones

Calculate the volume of a right circular cylinder (V = πr²h) or cone (V = ⅓πr²h) using π = 3.14. Review suitability for your learners before teaching.

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Age band:Ages 13-15Ages 16-18

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Worksheet StudioPractice pack · Ages 16-18

Volume of cylinders & cones

Take your time. Show your thinking.

  1. 1. A right circular cylinder has base radius 9 cm and perpendicular height 3 cm. Using π = 3.14, calculate its volume.

    Cylinder: r = 9 cm, h = 3 cm · V = πr²h

  2. 2. A right circular cylinder has base radius 4 cm and perpendicular height 3 cm. Using π = 3.14, calculate its volume.

    Cylinder: r = 4 cm, h = 3 cm · V = πr²h

  3. 3. A right circular cone has base radius 7 cm and perpendicular height 12 cm. Using π = 3.14, calculate its volume.

    Cone: r = 7 cm, h = 12 cm · V = ⅓πr²h

  4. 4. A right circular cylinder has base radius 6 cm and perpendicular height 21 cm. Using π = 3.14, calculate its volume.

    Cylinder: r = 6 cm, h = 21 cm · V = πr²h

  5. 5. A right circular cylinder has base radius 10 cm and perpendicular height 15 cm. Using π = 3.14, calculate its volume.

    Cylinder: r = 10 cm, h = 15 cm · V = πr²h

  6. 6. A right circular cylinder has base radius 5 cm and perpendicular height 27 cm. Using π = 3.14, calculate its volume.

    Cylinder: r = 5 cm, h = 27 cm · V = πr²h

  7. 7. A right circular cylinder has base radius 7 cm and perpendicular height 12 cm. Using π = 3.14, calculate its volume.

    Cylinder: r = 7 cm, h = 12 cm · V = πr²h

  8. 8. A right circular cylinder has base radius 5 cm and perpendicular height 12 cm. Using π = 3.14, calculate its volume.

    Cylinder: r = 5 cm, h = 12 cm · V = πr²h

  9. 9. A right circular cylinder has base radius 10 cm and perpendicular height 6 cm. Using π = 3.14, calculate its volume.

    Cylinder: r = 10 cm, h = 6 cm · V = πr²h

  10. 10. A right circular cone has base radius 12 cm and perpendicular height 9 cm. Using π = 3.14, calculate its volume.

    Cone: r = 12 cm, h = 9 cm · V = ⅓πr²h

  11. 11. A right circular cylinder has base radius 9 cm and perpendicular height 27 cm. Using π = 3.14, calculate its volume.

    Cylinder: r = 9 cm, h = 27 cm · V = πr²h

  12. 12. A right circular cone has base radius 6 cm and perpendicular height 9 cm. Using π = 3.14, calculate its volume.

    Cone: r = 6 cm, h = 9 cm · V = ⅓πr²h
12 questions · Seed 45 · Age guidance, not curriculum certification
View the answer key
Worksheet StudioAnswer key · Ages 16-18

Volume of cylinders & cones

Answers and reasoning. Review before teaching.

  1. 1. A right circular cylinder has base radius 9 cm and perpendicular height 3 cm. Using π = 3.14, calculate its volume.

    763.02 cm³

    Volume V = πr²h = 3.14 × 9² × 3 = 763.02 cm³.

  2. 2. A right circular cylinder has base radius 4 cm and perpendicular height 3 cm. Using π = 3.14, calculate its volume.

    150.72 cm³

    Volume V = πr²h = 3.14 × 4² × 3 = 150.72 cm³.

  3. 3. A right circular cone has base radius 7 cm and perpendicular height 12 cm. Using π = 3.14, calculate its volume.

    615.44 cm³

    Volume V = ⅓πr²h = ⅓ × 3.14 × 7² × 12 = 615.44 cm³.

  4. 4. A right circular cylinder has base radius 6 cm and perpendicular height 21 cm. Using π = 3.14, calculate its volume.

    2373.84 cm³

    Volume V = πr²h = 3.14 × 6² × 21 = 2373.84 cm³.

  5. 5. A right circular cylinder has base radius 10 cm and perpendicular height 15 cm. Using π = 3.14, calculate its volume.

    4710 cm³

    Volume V = πr²h = 3.14 × 10² × 15 = 4710 cm³.

  6. 6. A right circular cylinder has base radius 5 cm and perpendicular height 27 cm. Using π = 3.14, calculate its volume.

    2119.5 cm³

    Volume V = πr²h = 3.14 × 5² × 27 = 2119.5 cm³.

  7. 7. A right circular cylinder has base radius 7 cm and perpendicular height 12 cm. Using π = 3.14, calculate its volume.

    1846.32 cm³

    Volume V = πr²h = 3.14 × 7² × 12 = 1846.32 cm³.

  8. 8. A right circular cylinder has base radius 5 cm and perpendicular height 12 cm. Using π = 3.14, calculate its volume.

    942 cm³

    Volume V = πr²h = 3.14 × 5² × 12 = 942 cm³.

  9. 9. A right circular cylinder has base radius 10 cm and perpendicular height 6 cm. Using π = 3.14, calculate its volume.

    1884 cm³

    Volume V = πr²h = 3.14 × 10² × 6 = 1884 cm³.

  10. 10. A right circular cone has base radius 12 cm and perpendicular height 9 cm. Using π = 3.14, calculate its volume.

    1356.48 cm³

    Volume V = ⅓πr²h = ⅓ × 3.14 × 12² × 9 = 1356.48 cm³.

  11. 11. A right circular cylinder has base radius 9 cm and perpendicular height 27 cm. Using π = 3.14, calculate its volume.

    6867.18 cm³

    Volume V = πr²h = 3.14 × 9² × 27 = 6867.18 cm³.

  12. 12. A right circular cone has base radius 6 cm and perpendicular height 9 cm. Using π = 3.14, calculate its volume.

    339.12 cm³

    Volume V = ⅓πr²h = ⅓ × 3.14 × 6² × 9 = 339.12 cm³.

12 questions · Seed 45 · Age guidance, not curriculum certification
Worksheet StudioPractice pack · Ages 16-18

Volume of cylinders & cones

Take your time. Show your thinking.

  1. 1. A right circular cylinder has base radius 9 cm and perpendicular height 3 cm. Using π = 3.14, calculate its volume.

    Cylinder: r = 9 cm, h = 3 cm · V = πr²h

  2. 2. A right circular cylinder has base radius 4 cm and perpendicular height 3 cm. Using π = 3.14, calculate its volume.

    Cylinder: r = 4 cm, h = 3 cm · V = πr²h

  3. 3. A right circular cone has base radius 7 cm and perpendicular height 12 cm. Using π = 3.14, calculate its volume.

    Cone: r = 7 cm, h = 12 cm · V = ⅓πr²h

  4. 4. A right circular cylinder has base radius 6 cm and perpendicular height 21 cm. Using π = 3.14, calculate its volume.

    Cylinder: r = 6 cm, h = 21 cm · V = πr²h

  5. 5. A right circular cylinder has base radius 10 cm and perpendicular height 15 cm. Using π = 3.14, calculate its volume.

    Cylinder: r = 10 cm, h = 15 cm · V = πr²h

  6. 6. A right circular cylinder has base radius 5 cm and perpendicular height 27 cm. Using π = 3.14, calculate its volume.

    Cylinder: r = 5 cm, h = 27 cm · V = πr²h

  7. 7. A right circular cylinder has base radius 7 cm and perpendicular height 12 cm. Using π = 3.14, calculate its volume.

    Cylinder: r = 7 cm, h = 12 cm · V = πr²h

  8. 8. A right circular cylinder has base radius 5 cm and perpendicular height 12 cm. Using π = 3.14, calculate its volume.

    Cylinder: r = 5 cm, h = 12 cm · V = πr²h

  9. 9. A right circular cylinder has base radius 10 cm and perpendicular height 6 cm. Using π = 3.14, calculate its volume.

    Cylinder: r = 10 cm, h = 6 cm · V = πr²h

  10. 10. A right circular cone has base radius 12 cm and perpendicular height 9 cm. Using π = 3.14, calculate its volume.

    Cone: r = 12 cm, h = 9 cm · V = ⅓πr²h

  11. 11. A right circular cylinder has base radius 9 cm and perpendicular height 27 cm. Using π = 3.14, calculate its volume.

    Cylinder: r = 9 cm, h = 27 cm · V = πr²h

  12. 12. A right circular cone has base radius 6 cm and perpendicular height 9 cm. Using π = 3.14, calculate its volume.

    Cone: r = 6 cm, h = 9 cm · V = ⅓πr²h
12 questions · Seed 45 · Age guidance, not curriculum certification
Worksheet StudioAnswer key · Ages 16-18

Volume of cylinders & cones

Answers and reasoning. Review before teaching.

  1. 1. A right circular cylinder has base radius 9 cm and perpendicular height 3 cm. Using π = 3.14, calculate its volume.

    763.02 cm³

    Volume V = πr²h = 3.14 × 9² × 3 = 763.02 cm³.

  2. 2. A right circular cylinder has base radius 4 cm and perpendicular height 3 cm. Using π = 3.14, calculate its volume.

    150.72 cm³

    Volume V = πr²h = 3.14 × 4² × 3 = 150.72 cm³.

  3. 3. A right circular cone has base radius 7 cm and perpendicular height 12 cm. Using π = 3.14, calculate its volume.

    615.44 cm³

    Volume V = ⅓πr²h = ⅓ × 3.14 × 7² × 12 = 615.44 cm³.

  4. 4. A right circular cylinder has base radius 6 cm and perpendicular height 21 cm. Using π = 3.14, calculate its volume.

    2373.84 cm³

    Volume V = πr²h = 3.14 × 6² × 21 = 2373.84 cm³.

  5. 5. A right circular cylinder has base radius 10 cm and perpendicular height 15 cm. Using π = 3.14, calculate its volume.

    4710 cm³

    Volume V = πr²h = 3.14 × 10² × 15 = 4710 cm³.

  6. 6. A right circular cylinder has base radius 5 cm and perpendicular height 27 cm. Using π = 3.14, calculate its volume.

    2119.5 cm³

    Volume V = πr²h = 3.14 × 5² × 27 = 2119.5 cm³.

  7. 7. A right circular cylinder has base radius 7 cm and perpendicular height 12 cm. Using π = 3.14, calculate its volume.

    1846.32 cm³

    Volume V = πr²h = 3.14 × 7² × 12 = 1846.32 cm³.

  8. 8. A right circular cylinder has base radius 5 cm and perpendicular height 12 cm. Using π = 3.14, calculate its volume.

    942 cm³

    Volume V = πr²h = 3.14 × 5² × 12 = 942 cm³.

  9. 9. A right circular cylinder has base radius 10 cm and perpendicular height 6 cm. Using π = 3.14, calculate its volume.

    1884 cm³

    Volume V = πr²h = 3.14 × 10² × 6 = 1884 cm³.

  10. 10. A right circular cone has base radius 12 cm and perpendicular height 9 cm. Using π = 3.14, calculate its volume.

    1356.48 cm³

    Volume V = ⅓πr²h = ⅓ × 3.14 × 12² × 9 = 1356.48 cm³.

  11. 11. A right circular cylinder has base radius 9 cm and perpendicular height 27 cm. Using π = 3.14, calculate its volume.

    6867.18 cm³

    Volume V = πr²h = 3.14 × 9² × 27 = 6867.18 cm³.

  12. 12. A right circular cone has base radius 6 cm and perpendicular height 9 cm. Using π = 3.14, calculate its volume.

    339.12 cm³

    Volume V = ⅓πr²h = ⅓ × 3.14 × 6² × 9 = 339.12 cm³.

12 questions · Seed 45 · Age guidance, not curriculum certification