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Maharashtra State BoardSSC (English Medium) 10th Standard

The height of cone is 12 cm and radius is 5 cm then its slant height ______.

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Question

The height of cone is 12 cm and radius is 5 cm then its slant height ______.

Options

  • 17 cm

  • 60 cm

  • 7 cm

  • 13 cm

MCQ
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Solution

The height of cone is 12 cm and radius is 5 cm then its slant height 13 cm.

Explanation:

The slant height `l` is the hypotenuse of the right triangle formed by the height and radius. 

So, `l = sqrt(h^2 + r^2)`.

Here `l = sqrt(12^2 + 5^2)`

= `sqrt(144 + 25)`

= `sqrt(169)`

= 13 cm

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Chapter 7: Mensuration - Q.1 (A)
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