Question

pls answer this frds it is urgent​

Answer 1

$\underline {\underline {\Huge \mathfrak {Answer :-}}}$

Given,

Radius of the cone (r) = 7 cm

Total height of toy = 15.5 cm

∵ The cone is mounted on the hemisphere

∴ Radius of the cone = Radius of the hemisphere [Also, Given]

Now,

Height of the cone (h) = Total height of the toy - Radius of the cone

= 15.5 - 7 cm = 8.5 cm

Hence, the total surface area of the toy = $\boxed {\bold{CSA\:of\:cone+CSA\:of\:hemisphere}}$

Here, slant height (l)

= $\sqrt{h { }^{2} + r {}^{2} }$

= $\sqrt{72.25 + 49}$

= $\sqrt{121.25}$

= $57.5 cm$

∴ TSA of the toy

= $\pi \: r \: l \: + 2\pi \: r {}^{2}$

= $\pi \: r(l + 2r)$

= 22/7 × 7 (57.5 + 2 × 7)

= 22 × 71.5

= $\underline {\Huge\bold{1573\:cm^2}}$