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Find the slant height of a frustum cone whose top radius is 12 m and bottom radius is 10 m. The height of the cone is 13 m.

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13.15 m

12.15 m

10.15 m

14.25 m

answer is A.

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Detailed Solution

r_{1} = 12 m, r_{2} = 10 m, h = 13 m

l^{2} = {(r_{1} - r_{2})}^{2} + h^{2} = {(12 - 10)}^{2} + 13^{2} = 4 + 169 = 173

\Rightarrow l = \sqrt{173} = 13.15

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