Question

# If a solid cone of base radius r and height h is placed over a solid cylinder having same base radius and height as that of the cone, then the curved surface area of the solid so formed is __________.

Solution

## Slant height of the cone, l = $\sqrt{{r}^{2}+{h}^{2}}$ Curved surface area of the solid = Curved surface area of cone + Curved surface area of cylinder $=\mathrm{\pi }rl+2\mathrm{\pi }rh\phantom{\rule{0ex}{0ex}}=\mathrm{\pi }r\left(l+2h\right)\phantom{\rule{0ex}{0ex}}=\mathrm{\pi }r\left(\sqrt{{r}^{2}+{h}^{2}}+2h\right)$ If a solid cone of base radius r and height h is placed over a solid cylinder having same base radius and height as that of the cone, then the curved surface area of the solid so formed is .MathematicsRD Sharma (2020, 2021)All

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