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If two solid hemispheres of same base radius r are joined together along their bases, then curved surface area of this new solid is ______. - Mathematics

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Question

If two solid hemispheres of same base radius r are joined together along their bases, then curved surface area of this new solid is ______.

Options

  • 4πr2

  • 6πr2

  • 3πr2

  • 8πr2

MCQ
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Solution

If two solid hemispheres of same base radius r are joined together along their bases, then curved surface area of this new solid is 4πr2.

Explanation:

Because curved surface area of a hemisphere is 2πr2 and here, we join two solid hemispheres along their bases of radius r, from which we get a solid sphere.

Hence, the curved surface area of new solid = 2πr2 + 2πr2 = 4πr2.

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Chapter 12: Surface Areas and Volumes - Exercise 12.1 [Page 140]

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NCERT Exemplar Mathematics [English] Class 10
Chapter 12 Surface Areas and Volumes
Exercise 12.1 | Q 15 | Page 140

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