Question

16. The curved surface of a right circular cylinder is 880cm² and height is 20 cm
find the volume of the cylinder.
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Answer 1

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Explanation:

Given :

The curved surface of a right circular cylinder is 880cm² and height is 20 cm

To Find :

Volume of the cylinder

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$\bold{\boxed{Curved \: Surface \: Area \: of \: Cyclinder = 2\pi \: rh}}$

$= > 2\pi \: rh = 880$

$= > 2 \times \frac{22}{7} \times r \times 20 = 880$

$= > \frac{44}{7} \times r = \frac{880}{20} = 44$

$= > r = 44 \times \frac{7}{44} = 7$

Therefore,radius of right circular cylinder is 7cm

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

$= > \pi {r}^{2} h = \frac{22}{7} \times {(7)}^{2} \times 20$

$= > \frac{22}{7} \times 49 \times 20 = \frac{440 \times 49}{7}$

$= 440 \times 7 = 3080 {cm}^{2}$

Therefore,area of a right circular cylinder is $\bold{\red{3080 {cm}^{2}}}$

Answer 2

$\huge\bold{\gray{\sf{Answer:}}}$

Explanation:

Given :

The curved surface of a right circular cylinder is 880cm² and height is 20 cm

To Find :

Volume of the cylinder

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$\bold{\boxed{Curved \: Surface \: Area \: of \: Cyclinder = 2\pi \: rh}}$

$= > 2\pi \: rh = 880$

$= > 2 \times \frac{22}{7} \times r \times 20 = 880$

$= > \frac{44}{7} \times r = \frac{880}{20} = 44$

$= > r = 44 \times \frac{7}{44} = 7$

Therefore,radius of right circular cylinder is 7cm

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

$= > \pi {r}^{2} h = \frac{22}{7} \times {(7)}^{2} \times 20$

$= > \frac{22}{7} \times 49 \times 20 = \frac{440 \times 49}{7}$

$= 440 \times 7 = 3080 {cm}^{2}$

Therefore,area of a right circular cylinder is $\bold{\red{3080 {cm}^{2}}}$