Question

the total surface area of cone is 704.cm² and radius of its base is 7cm find the slant height of the cone 22/7

Answer 1

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Step-by-step explanation:

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Answer 2

$\blue{\bold{\underline{\underline{Answer:}}}}$

$\green{\tt{\therefore{Slant\:height=3199.93\:m}}}$

$\orange{\bold{\underline{\underline{Step-by-step\:explanation:}}}}$

$\green{\underline \bold{Given :}}$

$\tt:\implies T.S.A\: of \: cone = 704 \: {m}^{2}$

$\tt:\implies Radius \: of \: cone = 7 \: cm$

$\red{\underline \bold{To \: Find:}}$

$\tt: \implies Slant \: height =?$

• Given Question

$\tt \circ \: Radius = \frac{7}{100} = 0.07 \: m$

$\bold{As \: we \: know \: that}$

$\tt: \implies T.S.A \: of \:cone = \pi r(l + r)$

$\tt: \implies 704 = \frac{22}{7} \times 0.07(l + 0.07)$

$\tt: \implies \frac{704 \times 7}{22 \times 0.07} = l + 0.07$

$\tt: \implies 32 \times 100 = l + 0.07$

$\tt: \implies 3200 - 0.07 = l$

$\green{\tt: \implies l = 3199.93 \: m }$

$\green{\tt \therefore Slant \: height \:is \: 3199.93 \: m}$