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What is the formula for the slant height of a cone in terms of its radius r and a...

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bubbletrea | Student, Grade 11 | Honors

Posted July 4, 2013 at 1:15 PM via web

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What is the formula for the slant height of a cone in terms of its radius r and a height h?

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justaguide | College Teacher | (Level 2) Distinguished Educator

Posted July 4, 2013 at 2:38 PM (Answer #1)

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The formula for the slant height of a cone has to be determined. The radius of the base is r and the height of the cone is h.

Take a vertical cross-section of the cone through the top. This gives a right triangle with the radius of the base r and the height h being the dimensions of the smaller sides. The hypotenuse is the slant height. This is equal to `sqrt(r^2 + h^2)`

The formula for the slant height of a cone is `sqrt(r^2+h^2)`

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