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If Two Solid-hemisphere S 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-hemisphere s of same base radius r are joined together along their bases , then curved surface area  of this new solid is 

Options

  • \[4 \pi r^2\]

  • \[6 \pi r^2\]

  • \[3 \pi r^2\]

  • \[8 \pi r^2\]

MCQ
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Solution

Base radius of the hemisphere = r
Since the two hemispheres are joined end to end, it becomes a complete sphere. 
Curved surface area of the new solid = total surface area of the sphere.

\[\text { Curved surface area of the new solid } = 4 \pi r^2\]

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Chapter 14: Surface Areas and Volumes - Exercise 14.5 [Page 91]

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RD Sharma Mathematics [English] Class 10
Chapter 14 Surface Areas and Volumes
Exercise 14.5 | Q 48 | Page 91
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