Question

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Find the area of the curved surface and total surface of the cone whose height is 8 cm, and whose base is 12cm. ​

Answer 1

Answer:

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Answer 2

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Curved surface area = 188.52cm²

Total surface area = 301.63cm²

$\huge \sf \color{red}{\underbrace{\color{blue}{Solution}}} :$

Here , r = 6cm , h = 8cm

.°. slant height , $\boxed{\sf l=\sqrt{h²+r²}}$

$\ \ \ \ \ \ \ \ \ \ \ l = \sqrt{8²+6²} \\ \\ \ \ \ \ \ \ \ \ \ \ l = \sqrt{64+36} \\ \\ \ \ \ \ \ \ \ \ \ \ \ l = √{100} \\ \\ l=10cm$

.°. Curved surface area = πrh

$\ \ \ \ \ \ \ \ \ \ \ = π × 6 × 10 \\ \\ \ \ \ \ \ \ \ \ \ \ \ = 188.52 cm²$

Total surface area = πrl + πr² = πr(l+r)

$\ \ \ \ \ \ \ \ \ \ \ = π×6×(10+6) \\ \\ \ \ \ \ \ \ \ \ \ \ \ = 301.63 cm²$