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A juice glass is… (Class 10 Maths Basic 2024, Q30B)

questionbuddy.in/q/cbse-10-maths-2024-430-1-1-q30b-juice-glass-cylindrical-shape-hemi

MathsCBSE Class 10 · Basic · Board exam 2024, set 430/1/1 · 3 marks · Short answer

CBSE Class 10 Mathematics Basic 2024: question 30(B)

Set in the CBSE Class 10 board exam of 2024, paper 430/1/1, section C, question 30(B), for 3 marks. Try it first; the hints and our step-by-step solution are below.

Q30(B) · 3 marks · Short answerSurface Areas and Volumes

A juice glass is cylindrical in shape with hemi-spherical raised up portion at the bottom. The inner diameter of glass is 10 cm and its height is 14 cm. Find the capacity of the glass. (use )

Source: official question paper from cbse.gov.in (PDF). See it in the full 2024 board paper, set 430/1/1.

Hints

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

Hint 1

The raised hemispherical bottom takes up space, so it reduces the capacity.

Hint 2

Subtract the volume of a hemisphere of radius 5 cm from the volume of the cylinder.

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.

  1. Radius of glass (and of hemisphere) cm, cm

    ½ mark

  2. Capacity = volume of cylinder − volume of hemisphere

    2 marks

  3. cm³

    ½ mark

Answer: cm³ ≈ 837.33 cm³

Where the marks are

  • r = 5 cm (½ mark)
  • Capacity = cylinder − hemisphere with correct substitution (2 marks)
  • ≈ 837.33 cm³ (½ mark)

Revise the chapter

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 paper2024 board paper, set 430/1/1 (Basic): every question, by section.

The question is transcribed from the official paper; figures are described in words. The solution, hints and chapter tag are ours. Spotted an error? Write tosupport@questionbuddy.in.