Question

the slight height of a furstum of cone in 4cm and perimeter of its circular end are 18cm and 6cm find LSA​

Answer 1

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Answer 2

$Let\:r_{1} \:and\: r_{2} \:be\: </p><p>the \:radii\: of \:the\: </p><p>circular\: bases\: of \:</p><p>the\: frust, <em>\:</em><em>l</em> \:be \:the\:</p><p> slant \:height \:and <em>\:</em><em>h</em> \:be </p><p>\:the\: height.$

$\red{We \:have,}$

$l<em> </em>= 4cm ; 2πr_{1}= 18cm ; 2πr_{2} = 6cm$

$</p><p>l = 4cm , r_{1} = {9}{π} , r_{2} = \dfrac{3}{π}$

$\blue{curved\:surface\:area}$

$π × (\dfrac{9}{π} + \dfrac{3}{π})$ × $4cm$² =$48cm$²