ICSE Class 10 Mathematics Question 34 of 49

Multiple-Choice Questions — Question 34

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Question 34

A solid sphere with a radius of 4 cm is cut into 4 identical pieces by two mutually perpendicular planes passing through its center. Find the total surface area of one-quarter piece.

  1. 24π

  2. 32π

  3. 48π

  4. 64π

A solid sphere with a radius of 4 cm is cut into 4 identical pieces by two mutually perpendicular planes passing through its center. Find the total surface area of one-quarter piece. Maths Competency Focused Practice Questions Class 10 Solutions.
Answer

Total surface area of semi-hemisphere = 2πr2

= 2π × 42

= 2π × 16

= 32π.

Hence, Option 2 is the correct option.


Source: This question is from Multiple-Choice Questions, Mathematics — Class 10, ICSE Board.

Key Concepts Covered

This question tests your understanding of the following concepts from the chapter Multiple-Choice Questions: Question, Solid, Sphere, Radius, Cut, Identical. These are fundamental topics in Mathematics that students are expected to master as part of the ICSE Class 10 curriculum.

A thorough understanding of these concepts will help you answer similar questions confidently in your ICSE examinations. These topics are frequently tested in both objective and subjective sections of Mathematics papers. We recommend revising the relevant section of your textbook alongside practising these solved examples to build a strong foundation.

How to Approach This Question

Read the question carefully and identify what is being asked. Break down complex questions into smaller parts. Use the terminology and concepts discussed in this chapter. Structure your answer logically — begin with a definition or key statement, then provide supporting details. Review your answer to ensure it addresses all parts of the question completely.

Key Points to Remember

  • Always show your working steps clearly.
  • Verify your answer by substituting values back into the equation.
  • Practice similar problems from the textbook exercises.
  • Memorise important formulae and their conditions of applicability.

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