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What is the slant height of a cone with a radius of 7 and a altitude of 19?
Wiki User
∙ 12y ago
If you visualize the cone by cutting it vertically (with a plane perpendicular to the base), you can construct a right triangle to represent the radius, altitude, and slant height. This triangle has legs of 7 (the radius) and 19 (the altitude). Its hypotenuse represents the slant height. We can then use the Pythagorean theorem to solve for the slant height:
72 + 192 = s2
72 + 192 = s2
410 = s2
s = √(410)
s ≈ 20.24
Therefore the cone has a slant height of √(410), or approximately 20.248456731316586933246902289901 units.
Wiki User
∙ 12y ago
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