Question

A toy is in the form of a cone of radius 3.5 cm mounted on a hemisphere of same radius. If the total height of the toy is 15.5 cm, find the total surface area of the toy.​

Answer 1

Answer:

Your answer is given in the attachment hope that helps you

Answer 2

Given :

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• Height of the toy = 15.5 cm
• Radius of base of the conical part (r) = 3.5 cm

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To Find :

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• Total surface area of the toy

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Solution :

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Height of the conical part (h) = 15.5 - 3.5 = 12 cm

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Slant height (l) = $\sf{\sqrt{r²+h²}}$

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$\implies\sf{\sqrt{(3.5)²+12²}}$

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$\implies\sf{\sqrt{12.25+144}}$

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$\implies\sf{\sqrt{156.25}}$

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$\implies\sf{12.5\:cm}$

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∴ Total surface area of the toy = $\sf{πrl+2πr²}$

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$\implies\sf{πr\:(l+2r)}$

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$\implies\sf{\cfrac{22}{7}×3.5\:(12.5+2×3.5)\:cm²}$

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$\implies\sf{11\:(12.5+7)\:cm²}$

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$\implies\sf{11×19.5\:cm²}$

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$\implies{\purple{\underline{\boxed{\frak{214.5\:cm²}}}}{\:\bigstar}}$

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Hence, the total surface area of the toy is 214.5 cm².