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Cylinders, cones and spheres: 8th grade math

Volume of cylinders, cones, spheres. A free 8th grade lesson plan, a question set with answers and a printable sheet with its key. Copy it and make it yours.

Lesson plan

Goal

  • Students can do this: volume of cylinders, cones, spheres.

Teach (10 min)

  • A cylinder's volume is the area of the circle at the bottom times the height: V = π r² h.
  • Radius 3 and height 5: V = π × 3² × 5 = 45π cubic units. Leave the π in the answer.
  • Work one example on the board while students say each step aloud, then do one together.

Practise (15 min)

  • Students work the printable sheet in pairs, then alone.
  • Or practise it as a game with no sign-up: https://peabody.kids/math/funcs.cylinder?lesson=8-funcs-cylinder-1&at=8

Exit ticket (5 min)

  • Use the first three questions on the printable sheet as a slip.

Printable sheet

Name: ____________________   Date: ____________

Cylinders, cones and spheres (8th grade)

  1. A cylinder has a radius of 5 m and a height of 7 m. What is its volume in terms of π?
    V = πr²h
    r = 5 mh = 7 m
  2. A cylinder has a radius of 3 cm and a height of 8 cm. What is its volume in terms of π?
    V = πr²h
    r = 3 cmh = 8 cm
  3. A cylinder has a radius of 3 in and a height of 4 in. What is its volume in terms of π?
    V = πr²h
    r = 3 inh = 4 in
  4. A cylinder has a radius of 2 ft and a height of 6 ft. What is its volume in terms of π?
    V = πr²h
    r = 2 fth = 6 ft
  5. A cylinder has a radius of 3 ft and a height of 7 ft. What is its volume in terms of π?
    V = πr²h
    r = 3 fth = 7 ft
  6. A cylinder has a radius of 1 in and a height of 2 in. What is its volume in terms of π?
    V = πr²h
    r = 1 inh = 2 in
  7. A cylinder has a radius of 1 in and a height of 6 in. What is its volume in terms of π?
    V = πr²h
    r = 1 inh = 6 in
  8. A cylinder has a radius of 6 ft and a height of 3 ft. Use 3.14 for π. What is its volume, rounded to the nearest tenth?
    V = πr²h
    r = 6 fth = 3 ft
  9. A cylinder has a diameter of 10 cm and a height of 7 cm. What is its volume in terms of π?
    V = πr²h
    d = 10 cmh = 7 cm
  10. A cylinder has a diameter of 16 in and a height of 13 in. What is its volume in terms of π?
    V = πr²h
    d = 16 inh = 13 in
  11. A cylinder has a radius of 4 m and a height of 8 m. Use 3.14 for π. What is its volume, rounded to the nearest tenth?
    V = πr²h
    r = 4 mh = 8 m
  12. A cylinder has a diameter of 8 ft and a height of 14 ft. Use 3.14 for π. What is its volume, rounded to the nearest tenth?
    V = πr²h
    d = 8 fth = 14 ft
Key
  1. 175 π cubic m
  2. 72 π cubic cm
  3. 36 π cubic in
  4. 24 π cubic ft
  5. 63 π cubic ft
  6. 2 π cubic in
  7. 6 π cubic in
  8. 339.1 cubic ft
  9. 175 π cubic cm
  10. 832 π cubic in
  11. 401.9 cubic m
  12. 703.4 cubic ft

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