A rectangle of sides 10 cm and 8 cm is folded to form a cylinder in two different ways. The volume of the bigger cylinder thus formed is

\frac{175}{π} c m^{3}

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\frac{150}{π} c m^{3}

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\frac{200}{π} c m^{3}

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\frac{160}{π} c m^{3}

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Solution

The correct option is B $\frac{200}{π} c m^{3}$
Case $I : 2 π r = 10 c m \Rightarrow r \frac{5}{π} c m; h = 8 c m$
Case $I I : 2 π r = 8 c m \Rightarrow r \frac{4}{π} c m; h = 10 c m$
$V_{1} = \frac{200}{π} c m^{3}; V_{2} = \frac{160}{π} c m^{3}$

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