Question

The area of base circle of a right circular cylinder is 44cmsquare and its total surface area is 100cmsquare . Find the literal surface area

Answer 1

$\pi {r}^{2} = 44 {cm }^{2} \\ r = \sqrt{14} \\ tsa = 2\pi r(r + h) \\ 100{cm}^{2} = 2 \times \frac{22}{7} \sqrt{14} ( \sqrt{14} + h) \\ \\ h = \frac{12}{ \sqrt{14} } \\ \\ \\ csa = 2\pi \: rh \\ = 2 \times \frac{22}{7} \times \sqrt{14} \frac{12}{ \sqrt{14} } \\ = \frac{628}{7} = 89.7 {cm}^{2}$