Question

the curved surface area of a cylinder is 44oocm square and the circumference is 11ocm .find the hight and the volume of the cylinder

Answer 1

Hlo friend.. Cutiepie Here..

Here is ur answer :

Circumference of cylinder = 110 cm

$2\pi r = 110 \: cm$

Let the radius be r.

$2 \times \frac{22}{7} \times r = 110$


$r = 110 \times \frac{7}{22} \times \frac{1}{2}$


$r = \frac{35}{2}$


$r = 17.5 \: cm$



Curved surface area of cylinder = 4400 cm²

$2\pi rh = 4400$

Let the height be h.

$110h = 4400$


$h = \frac{4400}{110}$


$h = 40 \: cm$

Height h of cylinder = 40 cm

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Volume of cylinder


$= \pi {r}^{2} h$


$= \frac{22}{7} \times {(17.5)}^{2} \times 40$


$= \frac{22}{7} \times 306.25 \times 40$


$= 22 \times 43.75 \times 40$



$= 38,500 \: {cm}^{3}$



Volume of cylinder = 38,500 cm³

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HOPE IT HELPS YOU..

REGARDS
@sunita