Question

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Find the curve surface area of cone whose radius is 7 cm and height is 6 cm.

Answer 1

Question :-

Find curved surface area of cone whose radius is 7 cm and height is 6 cm,

Answer :-

→ 22√85

Solution :-

Given that ,

• r = 7 cm
• h = 6 cm

We know that

Curved surface area of cone = π r l

We know that slant height (l) = √(h^2+r^2)

→ √(49+36)

→ √85

therefore ,

CSA = π × 7 ×√85

→ 22/7×7 × √85

→ 22√85

Answer 2

$\LARGE\underline{\underline{\sf \red{G}\blue{i}\green{v}\orange{e}\red{n}:}}$

• Radius of cone (r) = 7cm

• Height of cone (h) = 6cm

$\LARGE\underline{\underline{\sf \red{T}\blue{o}\:\green{F}\orange{i}\blue{n}\red{d}:}}$

• Curved Surface area of cone (CSA)= ?

$\LARGE\underline{\underline{\sf \red{S}\blue{o}\green{l}\orange{u}\blue{t}\green{i}\orange{o}\red{n}:}}$

We know ,

l = slant Height of cone

Where ,

$\large{\boxed{\sf l=\sqrt{r^2+h^2}}}$

$\implies{\sf \sqrt{6^2+7^2} }$

$\implies{\sf \sqrt{85} }$

$\implies{\sf ≈9.21cm}$

Curved Surface Area of Cone :

$\large{\boxed{\sf CSA=πrl }}$

$\implies{\sf CSA=\dfrac{22}{7}×7×9.21}$

$\implies{\sf CSA=356.8cm^2}$

$\LARGE\underline{\underline{\sf \red{A}\blue{n}\green{s}\orange{w}\blue{e}\red{r}:}}$

•°• Curved Surface Area Of Cone is 356.8cm²