CBSE Class 10 Maths (Standard) 2025 · Paper 30/2/1 · Question 38

Surface Areas and Volumes 4 marks Medium

A skilled carpenter decided to craft a special rolling pin for the local baker. He carefully joined three cylindrical pieces of wood - two small ones on the ends and one larger in the centre to create a perfect tool. The baker loved the rolling pin, as it rolled out the smoothest dough for breads and pastries. The length of the bigger cylindrical part is

12

cm and diameter is

7

cm and the length of each smaller cylindrical part is

5

cm and diameter is

2.1

cm.

Carpenter making rolling pin

Schematic of the rolling pin

(i)Find the volume of the bigger cylindrical part.[1]
(ii)Find the curved surface area of the bigger cylindrical part.[1]
(iii)(a)Find the ratio of the volume of the bigger cylindrical part to the total volume of the two smaller (identical) cylindrical parts.[2]
(iii)(b) [OR]Find the sum of the curved surface areas of the two identical smaller cylindrical parts.[2]

Answer

(i) The volume of the bigger cylindrical part is

462 cm^{3}

; (ii) Its curved surface area is

264 cm^{2}

; (iii)(a) The required ratio is

40 : 3

; (iii)(b) The sum of the curved surface areas of the two smaller parts is

66 cm^{2}

🔒 Step-by-step solution

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CBSE Class 10 Maths (Standard) 2025 · Paper 30/2/1, Question 38 — all 38 questions with answers →

CBSE Class 10 Maths (Standard) 2025 · Paper 30/2/1 · Question 38

Answer

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