Answer:
Given, radius of base \[r=3.5\text{ }cm\] Total height of toy \[=15.5\text{ }cm\] Height of cone \['h'=15.5-3.5\] \[=12cm\] Slant height \['l'=\sqrt{{{h}^{2}}+{{r}^{2}}}\] \[=\sqrt{{{12}^{2}}+{{3.5}^{2}}}\] \[=\sqrt{144+12.25}\] \[=\sqrt{156.25}\] \[=12.5\,\,cm\] Total S.A. of toy = CSA of cone + CSA of hemisphere \[=\pi rl+2\pi {{r}^{2}}\] \[=\pi r\,[l+2r]\] \[=\frac{22}{7}\times 3.5[12.5+2\times 3.5]\] \[=22\times 0.5[12.5+7]\] \[=11\times 19.5\] \[=214.5\,\,c{{m}^{2}}\]
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