Question

curved surface area of cone is 4070 centimeter sq. radius is 35cm find it's slant height
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Answer 1

$\large\underline{\boxed{\bold\red{Question}}}$

Curved surface area of cone is 4070 cm² radius is 35cm find it's slant height

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$\large\underline{\boxed{\bold\purple{Given}}}$

$\mathfrak{\large{\pink{CSA \: of \: cone = 4070 cm²}}}$

$\mathfrak{\large\pink{{Radius \: (r) = 35 cm}}}$

$\mathfrak{\large\pink{Slant \: height (l) = ?}}$

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$\large\green{\boxed{CSA \: of \: cone = πrl}}$

$\large\pink{:\leadsto}\orange{4070 = \dfrac{22}{\cancel7}×\cancel{35}×l}$

$\large\pink{:\leadsto}\orange{4070 =22×5×l}$

$\large\pink{:\leadsto}\orange{4070 =110 \times l}$

$\large\pink{:\leadsto}\orange{\dfrac{4070}{110}}$

$\large\orange{\boxed{\pink{: \leadsto}37cm²}}$

[Hope this helps you.../]