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Grade 10 Volume of Cylinders, Cones & Spheres Worksheet with Answers

Grade 10 (US) · Year 11 (UK) · Class 10 (India) · Math

Unit 6: Surface Area & VolumeSolidsCCSS G-GMD.A.3

Volume of cylinders, cones and spheres, giving answers in terms of π. This free high 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 10 · Math

Score___ / 12

Name

Class

Date

Learning goal: Solids · CCSS G-GMD.A.3

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 cone with radius 3 cm and height 12 cm. Leave your answer in terms of π.

Answer: 36π cm³ (≈ 113.1 cm³)

RememberVolume

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

    Find the volume of a cone with radius 9 in and height 3 in. Leave your answer in terms of π.

    r = 9 inh = 3 in
    Answer
  2. 2

    Find the volume of a cylinder with radius 5 cm and height 11 cm. Leave your answer in terms of π.

    r = 5 cmh = 11 cm
    Answer
  3. 3

    Find the volume of a sphere with radius 3 in. Leave your answer in terms of π.

    r = 3 in
    Answer
  4. 4

    Find the volume of a cone with radius 8 cm and height 3 cm. Leave your answer in terms of π.

    r = 8 cmh = 3 cm
    Answer
  5. 5

    Find the volume of a cylinder with radius 4 cm and height 6 cm. Leave your answer in terms of π.

    r = 4 cmh = 6 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 cylinder with radius 8 m and height 1 m. Leave your answer in terms of π.

    r = 8 mh = 1 m
    Answer
  8. 8

    Find the volume of a sphere with radius 3 m. Leave your answer in terms of π.

    r = 3 m
    Answer
  9. 9

    Find the volume of a cone with radius 5 cm and height 9 cm. Leave your answer in terms of π.

    r = 5 cmh = 9 cm
    Answer
  10. 10

    Find the volume of a cylinder with radius 2 cm and height 9 cm. Leave your answer in terms of π.

    r = 2 cmh = 9 cm
    Answer
  11. 11

    Find the volume of a cylinder with radius 10 in and height 3 in. Leave your answer in terms of π.

    r = 10 inh = 3 in
    Answer
  12. 12

    Find the volume of a sphere with radius 3 cm. Leave your answer in terms of π.

    r = 3 cm
    Answer

★ Challenge corner for fast finishers

You have 5 shirts, 3 pairs of pants and 4 hats. How many different outfits of one shirt, one pair of pants and one hat can you make?

How did I do?

Teacher's comments

Free printable worksheets with answer keys · aethelsystems.com/worksheets/math/10/volume_cones_spheres

Answer key (click to show)
  1. 1.81π in³ (≈ 254.47 in³)
  2. 2.275π cm³ (≈ 863.94 cm³)
  3. 3.36π in³ (≈ 113.1 in³)
  4. 4.64π cm³ (≈ 201.06 cm³)
  5. 5.96π cm³ (≈ 301.59 cm³)
  6. 6.288π cm³ (≈ 904.78 cm³)
  7. 7.64π m³ (≈ 201.06 m³)
  8. 8.36π m³ (≈ 113.1 m³)
  9. 9.75π cm³ (≈ 235.62 cm³)
  10. 10.36π cm³ (≈ 113.1 cm³)
  11. 11.300π in³ (≈ 942.48 in³)
  12. 12.36π cm³ (≈ 113.1 cm³)
  13. ★60 (challenge corner)

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