Question

The volume of a circular pipe of length 1m is 3850 cubic cm.Find its diameter

Answer 1

$\underline { \blue { Dimensions\:of \: circular \:pipe :}}$

$Length \:of \:the \:pipe (h) = 1 \:m = 100\:cm$

$Let \: radius \:of \:the \:pipe = r \:cm$

$Volume\:of \:the \:pipe (V) = 3850 \:cm^{3}$

$\implies \pink {\pi r^{2} h } = 3850$

$\implies \frac{22}{7} \times r^{2} \times 100 = 3850$

$\implies r^{2} = \frac{ 3850 \times 7}{22\times 100} \\= \frac{49}{4}$

$\implies r^{2} = \Big(\frac{7}{2}\Big)^{2}$

$\implies r = \frac{7}{2} \:cm$

$Now, \orange {Diameter \:of \:the \:pipe }= 2r\\= 2 \times \frac{7}{2} \\= 7 \:cm$

Therefore.,

$\red {Diameter \:of \:the \:pipe }\green {= 7 \:cm }$

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