CBSE Class 10 Maths (Standard) 2025 · Paper 30(B) · Question 37

Surface Areas and Volumes 4 marks Medium

To make the teaching-learning process easier, creative and innovative, a teacher brings clay in the classroom to teach the topic of mensuration. She forms a cylinder of radius

2.1

cm and height

5

cm with the clay and puts a hemisphere of same radius on its top in such a way that the base of hemisphere covers the top of cylinder. Using the above information, and

π = \frac{22}{7}

, find the following.

(a)The volume of cylinder so formed.[1]
(b)The volume of hemispherical part.[1]
(c)(i)The surface area of the complete solid.[2]
(c)(ii)OR — The surface area of the cylindrical part, if hemisphere is not put on it.[2]

Answer

(a) The volume of the cylinder is

69.3

^{3}

; (b) The volume of the hemispherical part is

19.404

^{3}

; (c)(i) The surface area of the complete solid is

107.58

^{2}

; (c)(ii) The surface area of the cylinder without the hemisphere is

93.72

^{2}

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CBSE Class 10 Maths (Standard) 2025 · Paper 30(B) · Question 37

Answer

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