If the total surface area a solid right circular cylinder is 200 πcm2 and its radius is 5 cm, then the sum of its height and radius is

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If the total surface area a solid right circular cylinder is $200 π c m^{2}$ and its radius is 5 cm, then the sum of its height and radius is

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25 cm

20 cm

15 cm

30 cm

answer is A.

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Detailed Solution

$\begin{array}{l} T S A of cylinder = 200 π c m^{2} \\ 2 π r (h + r) = 200 π \\ 2 \times 5 (h + r) = 200 π \\ h + r = 20 c m \end{array}$

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