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Grade 8 Volume of Cylinders, Cones & Spheres Worksheet with Answers

Grade 8 (US) · Year 9 (UK) · Class 8 (India) · Math

Unit 4: GeometryVolumeCCSS 8.G.C.9

Volume of cylinders, cones and spheres, giving answers in terms of π. This free middle school worksheet has 12 questions and a full answer key. Print it or save it as a PDF — every answer is checked by code, not guessed.

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Volume of Cylinders, Cones & Spheres

Grade 8 · Math

Score___ / 12

Name

Class

Date

Learning goal: Volume · CCSS 8.G.C.9

Directions: Use the pictures to help you. Solve each problem. Show your work, then write your answer in the box.

Example

Find the volume of a cylinder with radius 6 m and height 2 m. Leave your answer in terms of π.

Answer: 72π m³ (≈ 226.19 m³)

RememberVolume

Rectangular prismV = l × w × hCylinderV = πr²hConeV = ⅓πr²hSphereV = 4⁄3πr³
  1. 1

    Find the volume of a sphere with radius 6 m. Leave your answer in terms of π.

    r = 6 m
    Answer
  2. 2

    Find the volume of a cone with radius 6 m and height 3 m. Leave your answer in terms of π.

    r = 6 mh = 3 m
    Answer
  3. 3

    Find the volume of a cylinder with radius 7 in and height 7 in. Leave your answer in terms of π.

    r = 7 inh = 7 in
    Answer
  4. 4

    Find the volume of a cylinder with radius 9 in and height 10 in. Leave your answer in terms of π.

    r = 9 inh = 10 in
    Answer
  5. 5

    Find the volume of a cylinder with radius 6 cm and height 5 cm. Leave your answer in terms of π.

    r = 6 cmh = 5 cm
    Answer
  6. 6

    Find the volume of a sphere with radius 6 cm. Leave your answer in terms of π.

    r = 6 cm
    Answer
  7. 7

    Find the volume of a cone with radius 7 in and height 3 in. Leave your answer in terms of π.

    r = 7 inh = 3 in
    Answer
  8. 8

    Find the volume of a sphere with radius 9 cm. Leave your answer in terms of π.

    r = 9 cm
    Answer
  9. 9

    Find the volume of a sphere with radius 9 m. Leave your answer in terms of π.

    r = 9 m
    Answer
  10. 10

    Find the volume of a cylinder with radius 6 in and height 7 in. Leave your answer in terms of π.

    r = 6 inh = 7 in
    Answer
  11. 11

    Find the volume of a cylinder with radius 1 m and height 8 m. Leave your answer in terms of π.

    r = 1 mh = 8 m
    Answer
  12. 12

    Find the volume of a cone with radius 5 cm and height 3 cm. Leave your answer in terms of π.

    r = 5 cmh = 3 cm
    Answer

★ Challenge corner for fast finishers

What is the units (ones) digit of 7^49?

How did I do?

Teacher's comments

Free printable worksheets with answer keys · aethelsystems.com/worksheets/math/8/volume_cones_spheres

Answer key (click to show)
  1. 1.288π m³ (≈ 904.78 m³)
  2. 2.36π m³ (≈ 113.1 m³)
  3. 3.343π in³ (≈ 1077.57 in³)
  4. 4.810π in³ (≈ 2544.69 in³)
  5. 5.180π cm³ (≈ 565.49 cm³)
  6. 6.288π cm³ (≈ 904.78 cm³)
  7. 7.49π in³ (≈ 153.94 in³)
  8. 8.972π cm³ (≈ 3053.63 cm³)
  9. 9.972π m³ (≈ 3053.63 m³)
  10. 10.252π in³ (≈ 791.68 in³)
  11. 11.8π m³ (≈ 25.13 m³)
  12. 12.25π cm³ (≈ 78.54 cm³)
  13. ★7 (challenge corner)

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