Discussion
A right cone of base radius 21 mm and slant height 29 mm has a vertical height of
Answer: A
Correct answer: 20 mm
Rearranging the same relation for the vertical height: \[ h = \sqrt{l^2 - r^2} = \sqrt{29^2 - 21^2} \] \[ = \sqrt{841 - 441} = \sqrt{400} = 20\ \mathrm{mm}. \] The slant height is the hypotenuse, so it is the quantity squared and subtracted from; treating the radius as the hypotenuse instead would leave a negative under the root.
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