Question

Find the capacity of a cylinder of radius 6 cm and height 20 cm.​

Answer 1

$\underline{ \fcolorbox{orange}{pink}{ \huge{Solution :}}}$

$\sf Given \: \begin{cases} \sf radius \: of \: cylinder = 6 \: cm \\ \sf height \: of \: cylinder = 20 \: cm\end{cases}$

We know that , the volume of cylinder is given by

$\large \sf \fbox{Volume \: of \: cylinder = \pi {(r)}^{2} h}$

Substitute the known values , we get

$\sf \mapsto Volume = \frac{22}{7} \times {(6)}^{2} \times 20 \\ \\ \sf \mapsto Volume = \frac{22}{7} \times 36 \times 20 \\ \\\sf \mapsto Volume = \frac{22}{7} \times 720 \\ \\\sf \mapsto Volume = 2262.8 \: \: {cm}^{3} \: \{ approx\}$

Hence , 2262.8 cm³ is the capacity of a cylinder

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Answer 2

Answer is : 2262.857

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