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MathsAges 13-15

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 13-15

Volume of cylinders & cones

Take your time. Show your thinking.

  1. 1. A right circular cone has base radius 11 cm and perpendicular height 15 cm. Using π = 3.14, calculate its volume.

    Cone: r = 11 cm, h = 15 cm · V = ⅓πr²h

  2. 2. 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

  3. 3. A right circular cone has base radius 4 cm and perpendicular height 12 cm. Using π = 3.14, calculate its volume.

    Cone: r = 4 cm, h = 12 cm · V = ⅓πr²h

  4. 4. A right circular cylinder has base radius 9 cm and perpendicular height 18 cm. Using π = 3.14, calculate its volume.

    Cylinder: r = 9 cm, h = 18 cm · V = πr²h

  5. 5. A right circular cone has base radius 11 cm and perpendicular height 21 cm. Using π = 3.14, calculate its volume.

    Cone: r = 11 cm, h = 21 cm · V = ⅓πr²h

  6. 6. A right circular cylinder has base radius 10 cm and perpendicular height 24 cm. Using π = 3.14, calculate its volume.

    Cylinder: r = 10 cm, h = 24 cm · V = πr²h

  7. 7. A right circular cone has base radius 10 cm and perpendicular height 24 cm. Using π = 3.14, calculate its volume.

    Cone: r = 10 cm, h = 24 cm · V = ⅓πr²h

  8. 8. A right circular cylinder has base radius 9 cm and perpendicular height 15 cm. Using π = 3.14, calculate its volume.

    Cylinder: r = 9 cm, h = 15 cm · V = πr²h

  9. 9. A right circular cone has base radius 12 cm and perpendicular height 21 cm. Using π = 3.14, calculate its volume.

    Cone: r = 12 cm, h = 21 cm · V = ⅓πr²h

  10. 10. A right circular cone has base radius 7 cm and perpendicular height 15 cm. Using π = 3.14, calculate its volume.

    Cone: r = 7 cm, h = 15 cm · V = ⅓πr²h

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

    Cylinder: r = 10 cm, h = 9 cm · V = πr²h

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

    Cone: r = 5 cm, h = 15 cm · V = ⅓πr²h
12 questions · Seed 46 · Age guidance, not curriculum certification
View the answer key
Worksheet StudioAnswer key · Ages 13-15

Volume of cylinders & cones

Answers and reasoning. Review before teaching.

  1. 1. A right circular cone has base radius 11 cm and perpendicular height 15 cm. Using π = 3.14, calculate its volume.

    1899.7 cm³

    Volume V = ⅓πr²h = ⅓ × 3.14 × 11² × 15 = 1899.7 cm³.

  2. 2. 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.

  3. 3. A right circular cone has base radius 4 cm and perpendicular height 12 cm. Using π = 3.14, calculate its volume.

    200.96 cm³

    Volume V = ⅓πr²h = ⅓ × 3.14 × 4² × 12 = 200.96 cm³.

  4. 4. A right circular cylinder has base radius 9 cm and perpendicular height 18 cm. Using π = 3.14, calculate its volume.

    4578.12 cm³

    Volume V = πr²h = 3.14 × 9² × 18 = 4578.12 cm³.

  5. 5. A right circular cone has base radius 11 cm and perpendicular height 21 cm. Using π = 3.14, calculate its volume.

    2659.58 cm³

    Volume V = ⅓πr²h = ⅓ × 3.14 × 11² × 21 = 2659.58 cm³.

  6. 6. A right circular cylinder has base radius 10 cm and perpendicular height 24 cm. Using π = 3.14, calculate its volume.

    7536 cm³

    Volume V = πr²h = 3.14 × 10² × 24 = 7536 cm³.

  7. 7. A right circular cone has base radius 10 cm and perpendicular height 24 cm. Using π = 3.14, calculate its volume.

    2512 cm³

    Volume V = ⅓πr²h = ⅓ × 3.14 × 10² × 24 = 2512 cm³.

  8. 8. A right circular cylinder has base radius 9 cm and perpendicular height 15 cm. Using π = 3.14, calculate its volume.

    3815.1 cm³

    Volume V = πr²h = 3.14 × 9² × 15 = 3815.1 cm³.

  9. 9. A right circular cone has base radius 12 cm and perpendicular height 21 cm. Using π = 3.14, calculate its volume.

    3165.12 cm³

    Volume V = ⅓πr²h = ⅓ × 3.14 × 12² × 21 = 3165.12 cm³.

  10. 10. A right circular cone has base radius 7 cm and perpendicular height 15 cm. Using π = 3.14, calculate its volume.

    769.3 cm³

    Volume V = ⅓πr²h = ⅓ × 3.14 × 7² × 15 = 769.3 cm³.

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

    2826 cm³

    Volume V = πr²h = 3.14 × 10² × 9 = 2826 cm³.

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

    392.5 cm³

    Volume V = ⅓πr²h = ⅓ × 3.14 × 5² × 15 = 392.5 cm³.

12 questions · Seed 46 · Age guidance, not curriculum certification
Worksheet StudioPractice pack · Ages 13-15

Volume of cylinders & cones

Take your time. Show your thinking.

  1. 1. A right circular cone has base radius 11 cm and perpendicular height 15 cm. Using π = 3.14, calculate its volume.

    Cone: r = 11 cm, h = 15 cm · V = ⅓πr²h

  2. 2. 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

  3. 3. A right circular cone has base radius 4 cm and perpendicular height 12 cm. Using π = 3.14, calculate its volume.

    Cone: r = 4 cm, h = 12 cm · V = ⅓πr²h

  4. 4. A right circular cylinder has base radius 9 cm and perpendicular height 18 cm. Using π = 3.14, calculate its volume.

    Cylinder: r = 9 cm, h = 18 cm · V = πr²h

  5. 5. A right circular cone has base radius 11 cm and perpendicular height 21 cm. Using π = 3.14, calculate its volume.

    Cone: r = 11 cm, h = 21 cm · V = ⅓πr²h

  6. 6. A right circular cylinder has base radius 10 cm and perpendicular height 24 cm. Using π = 3.14, calculate its volume.

    Cylinder: r = 10 cm, h = 24 cm · V = πr²h

  7. 7. A right circular cone has base radius 10 cm and perpendicular height 24 cm. Using π = 3.14, calculate its volume.

    Cone: r = 10 cm, h = 24 cm · V = ⅓πr²h

  8. 8. A right circular cylinder has base radius 9 cm and perpendicular height 15 cm. Using π = 3.14, calculate its volume.

    Cylinder: r = 9 cm, h = 15 cm · V = πr²h

  9. 9. A right circular cone has base radius 12 cm and perpendicular height 21 cm. Using π = 3.14, calculate its volume.

    Cone: r = 12 cm, h = 21 cm · V = ⅓πr²h

  10. 10. A right circular cone has base radius 7 cm and perpendicular height 15 cm. Using π = 3.14, calculate its volume.

    Cone: r = 7 cm, h = 15 cm · V = ⅓πr²h

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

    Cylinder: r = 10 cm, h = 9 cm · V = πr²h

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

    Cone: r = 5 cm, h = 15 cm · V = ⅓πr²h
12 questions · Seed 46 · Age guidance, not curriculum certification
Worksheet StudioAnswer key · Ages 13-15

Volume of cylinders & cones

Answers and reasoning. Review before teaching.

  1. 1. A right circular cone has base radius 11 cm and perpendicular height 15 cm. Using π = 3.14, calculate its volume.

    1899.7 cm³

    Volume V = ⅓πr²h = ⅓ × 3.14 × 11² × 15 = 1899.7 cm³.

  2. 2. 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.

  3. 3. A right circular cone has base radius 4 cm and perpendicular height 12 cm. Using π = 3.14, calculate its volume.

    200.96 cm³

    Volume V = ⅓πr²h = ⅓ × 3.14 × 4² × 12 = 200.96 cm³.

  4. 4. A right circular cylinder has base radius 9 cm and perpendicular height 18 cm. Using π = 3.14, calculate its volume.

    4578.12 cm³

    Volume V = πr²h = 3.14 × 9² × 18 = 4578.12 cm³.

  5. 5. A right circular cone has base radius 11 cm and perpendicular height 21 cm. Using π = 3.14, calculate its volume.

    2659.58 cm³

    Volume V = ⅓πr²h = ⅓ × 3.14 × 11² × 21 = 2659.58 cm³.

  6. 6. A right circular cylinder has base radius 10 cm and perpendicular height 24 cm. Using π = 3.14, calculate its volume.

    7536 cm³

    Volume V = πr²h = 3.14 × 10² × 24 = 7536 cm³.

  7. 7. A right circular cone has base radius 10 cm and perpendicular height 24 cm. Using π = 3.14, calculate its volume.

    2512 cm³

    Volume V = ⅓πr²h = ⅓ × 3.14 × 10² × 24 = 2512 cm³.

  8. 8. A right circular cylinder has base radius 9 cm and perpendicular height 15 cm. Using π = 3.14, calculate its volume.

    3815.1 cm³

    Volume V = πr²h = 3.14 × 9² × 15 = 3815.1 cm³.

  9. 9. A right circular cone has base radius 12 cm and perpendicular height 21 cm. Using π = 3.14, calculate its volume.

    3165.12 cm³

    Volume V = ⅓πr²h = ⅓ × 3.14 × 12² × 21 = 3165.12 cm³.

  10. 10. A right circular cone has base radius 7 cm and perpendicular height 15 cm. Using π = 3.14, calculate its volume.

    769.3 cm³

    Volume V = ⅓πr²h = ⅓ × 3.14 × 7² × 15 = 769.3 cm³.

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

    2826 cm³

    Volume V = πr²h = 3.14 × 10² × 9 = 2826 cm³.

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

    392.5 cm³

    Volume V = ⅓πr²h = ⅓ × 3.14 × 5² × 15 = 392.5 cm³.

12 questions · Seed 46 · Age guidance, not curriculum certification