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Grade 10 Surface Area of Cylinders, Cones & Spheres Worksheet with Answers

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

Unit 6: Surface Area & VolumeSolidsCCSS G-MG.A.1

Surface area of cylinders, cones and spheres 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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Surface Area of Cylinders, Cones & Spheres

Grade 10 · Math

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Class

Date

Learning goal: Solids · CCSS G-MG.A.1

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

Example

Find the surface area of a sphere with radius 5 cm, in terms of π.

Answer: 100π cm²

RememberVolume

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

    Find the total surface area of a cylinder with radius 6 in and height 2 in, in terms of π.

    r = 6 inh = 2 in
    Answer
  2. 2

    A cone has radius 8 in and height 15 in. Find its total surface area in terms of π. (Hint: find the slant height first.)

    r = 8 inh = 15 in
    Answer
  3. 3

    Find the total surface area of a cylinder with radius 4 m and height 10 m, in terms of π.

    r = 4 mh = 10 m
    Answer
  4. 4

    Find the total surface area of a cylinder with radius 1 in and height 11 in, in terms of π.

    r = 1 inh = 11 in
    Answer
  5. 5

    Find the total surface area of a cylinder with radius 7 cm and height 9 cm, in terms of π.

    r = 7 cmh = 9 cm
    Answer
  6. 6

    Find the total surface area of a cylinder with radius 3 in and height 7 in, in terms of π.

    r = 3 inh = 7 in
    Answer
  7. 7

    Find the total surface area of a cylinder with radius 1 cm and height 6 cm, in terms of π.

    r = 1 cmh = 6 cm
    Answer
  8. 8

    Find the total surface area of a cylinder with radius 7 m and height 9 m, in terms of π.

    r = 7 mh = 9 m
    Answer
  9. 9

    Find the total surface area of a cylinder with radius 6 cm and height 12 cm, in terms of π.

    r = 6 cmh = 12 cm
    Answer
  10. 10

    Find the surface area of a sphere with radius 8 m, in terms of π.

    r = 8 m
    Answer
  11. 11

    Find the total surface area of a cylinder with radius 2 in and height 2 in, in terms of π.

    r = 2 inh = 2 in
    Answer
  12. 12

    A cone has radius 6 in and height 8 in. Find its total surface area in terms of π. (Hint: find the slant height first.)

    r = 6 inh = 8 in
    Answer

★ Challenge corner for fast finishers

How many 3-digit numbers can be made from the digits 1 to 7 if no digit is repeated?

How did I do?

Teacher's comments

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

Answer key (click to show)
  1. 1.96π in²
  2. 2.200π in²
  3. 3.112π m²
  4. 4.24π in²
  5. 5.224π cm²
  6. 6.60π in²
  7. 7.14π cm²
  8. 8.224π m²
  9. 9.216π cm²
  10. 10.256π m²
  11. 11.16π in²
  12. 12.96π in²
  13. ★210 (challenge corner)

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