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If a solid cone of base radius r and height h is placed over a solid cylinder having the same base radius and height as that of the cone, then the curved surface area of the solid so formed is ______

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Question

If a solid cone of base radius r and height h is placed over a solid cylinder having the same base radius and height as that of the cone, then the curved surface area of the solid so formed is ______.

Fill in the Blanks
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Solution

If a solid cone of base radius r and height h is placed over a solid cylinder having the same base radius and height as that of the cone, then the curved surface area of the solid so formed is `underlinebb(πr(sqrt(h^2 + r^2) + 2h))`.

Explanation:

Here, the cone’s slant height is \[\sqrt{h^{2}+r^{2}}\].

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Chapter 14: Surface Areas and Volumes - FILL IN THE BLANK TYPE QUESTIONS (FBQs) [Page 14.60]

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R.D. Sharma Mathematics [English] Class 10
Chapter 14 Surface Areas and Volumes
FILL IN THE BLANK TYPE QUESTIONS (FBQs) | Q 8. | Page 14.60
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