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The volume of the largest right… (Class 10 Maths 2024, Q15)

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MathsCBSE Class 10 · Standard · Board exam 2024, set 30/1/1 · 1 mark · MCQ

CBSE Class 10 Mathematics Standard 2024: question 15

Set in the CBSE Class 10 board exam of 2024, paper 30/1/1, section A, question 15, for 1 mark. Try it first; the hints and our step-by-step solution are below.

Q15 · 1 mark · MCQSurface Areas and Volumes

The volume of the largest right circular cone that can be carved out from a solid cube of edge 2 cm is:

  1. (A) cu cm
  2. (B) cu cm
  3. (C) cu cm
  4. (D) cu cm

Source: official question paper from cbse.gov.in (PDF). See it in the full 2024 board paper, set 30/1/1.

Hints

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

Hint 1

The base circle must fit inside a face of the cube.

Hint 2

The radius is half the edge and the height equals the edge.

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. The largest cone has its base diameter equal to the edge, so cm, and its height equal to the edge, so cm.

  2. cu cm. The answer is option (D).

    1 mark

Answer: cu cm, option (D)

Where the marks are

  • Takes , and computes , option (D) (1 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 30/1/1 (Standard): 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.