Question

a coincal tent is 3m high and diameter of base is 8m .Find its slanr height
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Answer 1

$\huge{\mathcal{\orange{\implies{\underline{Given}}}}}$

Height = 3m

diamtere = 8m then Radius = 4m

$\huge{\mathcal{\blue{\underline{Answer}}}}$

$s {}^{2} = \: r {}^{2} + h {}^{2} \\ s {}^{2} = (4 m){}^{2} + (3 m){}^{2} \\ s {}^{2} = 16m {}^{2} + 9m {}^{2} \\ s {}^{2} = 25m {}^{2} \\ s = \sqrt{25m {}^{2} }$

The slant height of the conical tent is

$\huge{\mathcal{\green{\underline{\implies{5m}}}}}$