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Bhagyasri Singh
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Asked: 2020-10-29T05:50:29+00:00 In:

A hemispherical depression is cut out from one face of a cubical wooden block such that the diameter l of the hemisphere is equal to the edge of the cube. Determine the surface area of the remaining solid.

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NCERT Solutions for Class 10 Maths Chapter 13
Important NCERT Questions
Surface areas and Volumes,
NCERT Books for Session 2022-2023
CBSE Board and UP Board Others state Board
EXERCISE 13.1
Page No:244
Questions No:5

2020-2021cbsechapter 13class10mathematicsncertsurface areas and volumes
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    1. Best Answer
      A hemispherical depression is cut out from one face of a cubical wooden block such that the diameter l of the hemisphere is equal to the edge of the cube. Determine the surface area of the remaining solid.

      The maximum daimeter of hemisphere = side of cubical block = l
      Radius of hemisphere (r) = l/2
      The surface area of the remaining solid
      = TSA of cubical block + CSA of hemisphere – Area of base of hemisphere
      = 6l² + 2πr² – πr²
      = 6l² + πr²
      = 6l² + π(l/2)²
      = (6 + π/4)l²
      Hence, the surface area of the remaining solid is (6 + π/4)l².

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    2. Get Hindi Medium and English Medium NCERT Solution for Class 10 Maths to download.
      Please follow the link to visit website for first and second term exams solutions.
      https://www.tiwariacademy.com/ncert-solutions/class-10/maths/chapter-13/

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