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The total surface area of a cone whose radius is r2 and slant height 2l is ______. - Mathematics

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Question

The total surface area of a cone whose radius is `r/2` and slant height 2l is ______.

Options

  • `2pir (l + r)`

  • `pir (l + r/4)`

  • `pir(l + r)`

  • `2pirl`

MCQ
Fill in the Blanks

Solution

The total surface area of a cone whose radius is `r/2` and slant height 2l is `underlinebb(pir (l + r/4))`.

Explanation:

The formula of total surface area of cone = Area of the base + Curved surface area of cone

= `pi(r/2)^2 + pi(r/2) xx 2l`

= `(pir)/2 (r/2 + 2l)`

= `(pir)/2 (r + 4l)`

= `pir(l + r/4)`

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Chapter 13: Surface Area & Volumes - Exercise 13.1 [Page 123]

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NCERT Exemplar Mathematics [English] Class 9
Chapter 13 Surface Area & Volumes
Exercise 13.1 | Q 5. | Page 123

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