Question

2. Find the height and the volume of the solid cylinder, if area of its curved surface is
132 cm and radius of its base is 6 cm.

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Answer 1

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Answer 2

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Explanation:

Given :

area of its curved surface is

132 cm and radius of its base is 6 cm.

To Find :

Height and volume of the solid Cyclinder

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$\bold{\boxed{CSA \:of \:cylinder=2πrh}}$

$= > 2\pi \: rh = 132$

$= > 2 \times \frac{22}{7} \times 6 \times h = 132$

$= > \frac{44}{7} \times 6 \times h = 132$

$= > h = \frac{132}{6} \times \frac{7}{44}$

$= > h = 22 \times \frac{7}{44}$

$\huge\bold{\purple{h = \frac{7}{2}cm }}$

$\bold{\boxed{Volume \: of \: Cyclinder = \pi {r}^{2} h}}$

$= > \pi {r}^{2} h = \frac{22}{7} \times {(6)}^{2} \times \frac{7}{2}$

$= \frac{22}{7} \times 36 \times \frac{7}{2}$

$= > 22 \times 22 = 396 {cm}^{3}$

$\bold{\boxed{∴Volume \: of \: Cyclinder = 396 {cm}^{3}}}$