Class 10 · Mathematics · Mathematics

12. Surface Areas and Volumes

Try question 1

The volume of a cylinder of radius r and height h is

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Answer and explanation

Answer: A. πr²h

Volume = base area × height = πr² × h.

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Try question 2

The volume of a hemisphere of radius r is

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Answer and explanation

Answer: B. (2/3)πr³

It is half the volume of a sphere: ½ × (4/3)πr³.

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Try question 3

The curved surface area of a cone of radius r and slant height l is

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Answer and explanation

Answer: C. πrl

CSA of a cone = πrl; adding the base πr² gives the total surface area.

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