Question

A joker's cap is in the form of a right circular cone of base radius 7cm and height 27cm.find the area of the sheet required to make 10 such caps

Answer 1

area of the sheet is573.7cm and area of sheet is required to make 10 such Caps is 573.7*10=5737cm

Answer 2

✯✯ QUESTION ✯✯

A joker's cap is in the form of a right circular cone of base radius 7cm and height 27cm.find the area of the sheet required to make 10 such caps..

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✰✰ ANSWER ✰✰

$\longmapsto\tt{Radius=7cm}$

$\longmapsto\tt{Height=27cm}$

➮Firstly we will find the slant height : -

$\longmapsto\tt{{l}^{2}=\sqrt{{h}^{2}+{r}^{2}}}$

$\longmapsto\tt{l=\sqrt{{(24)}^{2}+{(7)}^{2}}}$

$\longmapsto\tt{l=\sqrt{576+49}}$

$\longmapsto\tt{l=\sqrt{625}}$

$\red\longmapsto\:\large\underline{\boxed{\bf\green{l}\orange{=}\purple{25}}}$

☛So , The slant height (l) is 25 cm...

➥Now ,

➥Using Formula : -

$\longmapsto\tt{\small{\boxed{\bold{\bold{\green{\sf{C.S.A\:of\:Cone=\pi{rl}}}}}}}}$

➥Putting Values : -

$\longmapsto\tt{\dfrac{22}{\cancel{7}}\times{7}\times{\cancel{25}}}$

$\longmapsto\tt{22\times{25}}$

$\longmapsto\tt\bold{550{cm}^{2}}$

$\longmapsto\tt{Sheet\:Required\:for\:10\:caps=550\times{10}}$

$\longmapsto\tt\boxed{5500{cm}^{2}}$

☛ So , Sheet required for 10 caps is 5500cm²...