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🧾 CBSE · Class 10

Class 10 Maths: Surface Areas and Volumes Worksheet (with Answers)

A free, print-ready worksheet on Surface Areas and Volumes for CBSE Class 10 Maths, with a matching answer key. Use the sample below, or build your own with the exact mix of questions you need — no login, no ads.

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Sample worksheet

7 of 17 questions from this chapter. Generate your own for the full set, more variations, and a clean print layout.

  1. 1. The volume of a cylinder of radius r and height h is:
    • (a) 2πrh
    • (b) ⅓πr²h
    • (c) πr²h
    • (d) πrl
  2. 2. The volume of a sphere of radius r is:
    • (a) 4πr²
    • (b) (4/3)πr³
    • (c) (2/3)πr³
    • (d) πr³
  3. 3. The curved surface area of a cone is:
    • (a) ⅓πr²h
    • (b) 2πrh
    • (c) πrl
    • (d) πr(r + l)
  4. 4. The total surface area of a hemisphere of radius r is:
    • (a) 2πr²
    • (b) πr²
    • (c) 4πr²
    • (d) 3πr²
  5. 5. Write the formula for the total surface area of a cylinder.
  6. 6. Find the volume of a cone with r = 3 cm and h = 7 cm (π = 22/7).
  7. 7. A solid is in the shape of a cone mounted on a hemisphere, both of radius 7 cm, the cone's height being 24 cm. Find the total volume. (π = 22/7)
View answers
  1. 1. (c) πr²h — Cylinder volume = πr²h.
  2. 2. (b) (4/3)πr³ — Sphere volume = (4/3)πr³.
  3. 3. (c) πrl — Cone CSA = πrl.
  4. 4. (d) 3πr² — Hemisphere TSA = 2πr² (curved) + πr² (flat) = 3πr².
  5. 5. TSA = 2πr(r + h).
  6. 6. V = ⅓ × (22/7) × 9 × 7 = ⅓ × 198 = 66 cm³.
  7. 7. Cone volume = ⅓πr²h = ⅓ × (22/7) × 49 × 24 = 1232 cm³. Hemisphere volume = (2/3)πr³ = (2/3) × (22/7) × 343 ≈ 718.67 cm³. Total ≈ 1232 + 718.67 = 1950.67 cm³.
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FAQ

Is this Class 10 Maths worksheet on Surface Areas and Volumes free?
Yes — it is completely free, with no login and no ads. You can print it or save it as a PDF, and generate unlimited variations.
Does the Surface Areas and Volumes worksheet come with answers?
Yes. Every worksheet has a separate answer key with the correct answers, short explanations and marks, so it is ready for marking.
Can I choose how many questions and which types?
Yes. Open the generator for this chapter and set how many MCQs, short, long and HOTS questions you want; totals and marks update live, and you can swap any single question.
Which board and class is this for?
This worksheet is aligned to CBSE Class 10 Maths, chapter “Surface Areas and Volumes”.