A solid right circular cone of radius \( \mathrm{r} \) and height \( \mathrm{h} \) is placed ove...

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A solid right circular cone of radius \( \mathrm{r} \) and height \( \mathrm{h} \) is placed over a solid cylinder of same height and radius. The total surface area of the shape so formed is
a. \( 4 \pi \mathrm{rh}+4 \pi \mathrm{r}^{2} \)
b. \( 4 \pi \mathrm{rh}+\pi \mathrm{r}^{2} \)
c. \( \pi \mathrm{r}\left(\sqrt{\mathrm{r}^{2}+\mathrm{h}^{2}}+2 \mathrm{~h}+\mathrm{r}\right) \)
d. \( \pi \mathrm{r}^{2}\left(\sqrt{\mathrm{r}^{2}+\mathrm{h}^{2}}+2 \mathrm{~h}+\mathrm{r}\right) \)
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