Question

a cone is surmounted on a hemisphere. the slant height of the cone is 7 cm and its radius is 5 cm then total surface area of the solid is​

Answer 1

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Given

Radius, r of cone = 5cm

Height, h of cone = 12cm

Solution

slant height,

$1 = \sqrt{ {h}^{2} + {r}^{2} } \\ 1 = \sqrt{ {12}^{2} + {5}^{2} } \\ 1 = \sqrt{144 + 25} 1 = \sqrt{169} \\ 1 = 13cm$

Surface area of the toy = Curve surface area of cone + curved surface area of hemisphere

$\pi \: rl + 2\pi \: {r}^{2} \\ \pi \: r \: (l + 2r) \\ 3.14 \times 5(13 + 2 \times 5) \\ = 361.1 {cm}^{2}$

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Answer 2

Find the answer in the image attached. Hope this helps :)