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The circumference of the base of a 9m high wooden solid cone is 44m. Find the slant height of the cone.

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$7 \sqrt{5} m$

$\sqrt{120} m$

$\sqrt{130} m$

$\sqrt{150} m$

answer is B.

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Detailed Solution

h = 9 m t s

$2 π r = 44 m t s$

$r = 44 \times \frac{7}{2 \times 22} = 7 m t s$

$l = \sqrt{h^{2} + r^{2}} = \sqrt{81 + 49} = \sqrt{130} m t s$ .

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