MathsCBSE Class 10 · Basic · Sample paper, session 2023-24 · 1 mark · MCQ

CBSE Class 10 Mathematics Basic sample paper 2023-24: question 17

From the official CBSE sample question paper for 2023-24, section A, question 17, for 1 mark. Try it first; the hints and our step-by-step solution are below.

Q17 · 1 mark · MCQSurface Areas and Volumes

A rectangular sheet of paper $40 cm \times 22 cm$ , is rolled to form a hollow cylinder of height $40 cm$ . The radius of the cylinder (in cm) is:

(A)3.5
(B)7
(C) $\frac{80}{7}$
(D)5

Source: official sample paper from cbseacademic.nic.in (PDF). See it in the full Sample paper 2023-24.

Hints

Open one hint at a time and try again before the next.

Hint 1

One side of the sheet becomes the height; what does the other side become?

Hint 2

Set $2 π r$ equal to that side.

Step-by-step solution

Each step shows the marks it earns, as an examiner would award them. Checked by an independent re-solve from the question paper.

Height = 40 cm, so the 22 cm side becomes the circumference: $2 π r = 22$ .
$2 \times \frac{22}{7} \times r = 22 \Rightarrow r = \frac{7}{2} = 3.5$ cm, option (A).
1 mark

Answer: 3.5 cm, option (A)

Where the marks are

Uses circumference = 22 cm to get r = 3.5 cm (1 mark)

Revise the chapter

Chapter: Surface Areas and Volumes (notes, formulas, where marks are lost and every past question)
Topic: Surface Area and Volume Formulae Revision

Practise this chapterBoard-style questions from Surface Areas and Volumes, one at a time, marked against the answer key and marking points.Back to the full paperSample paper 2023-24 (Basic): every question, by section.

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CBSE Class 10 Mathematics Basic sample paper 2023-24: question 17

Hints

Step-by-step solution

Revise the chapter

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