Question

the curled surface area of a cylinder
4400 cm2
and the
circonference of its base
find the height of the cylinder
220cm​

Answer 1

Answer:

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Step-by-step explanation:

Answer 2

${\sf \: { \underline\fcolorbox{navy}{orange}{\color{darkblue}{ \: Given : \:-}}}}$

$\sf \small \: ❥ \: \green{ Curved \: Surface \: Area \: of \: cylinder} = 4400 \: cm ²$

$\sf \: \small \: ❥ \: \green{ Circumference \: of \: it's \: base} = 22 cm$

${\sf{\fcolorbox{navy}{orange}{\color{darkblue}{Find :-}}}}$

$\sf \: ❥ \: \green{Height \: of \: cylinder}$

${\sf{\fcolorbox{navy}{orange}{\color{darkblue}{Solution :-}}}}$

To find Height of cylinder we need to find radius of it's base

We know that

Circumference of circle = 2 π × r

$\it \: \red{22 cm }= \large \blue {2 × \frac{22}{7} × r}$

$\it \: \large \: \: \blue{\frac{ 22 cm × 7 }{22 × 2 } }= \red{r}$

$\it \: \large \blue{\frac {7}{2} \small \: {cm }}\: = \red {r}$

Curved Surface Area of cylinder = 2 π × r × h

$\it \: \purple{ 4400 \: cm {}^{2} = 2 \times \frac{22}{7} \times \frac{7}{2} \: \: \times} \green{h}$

$\sf \: \large \: \purple{ \frac{4400cm {}^{2} }{22} \: }= \green{h}$

$\sf \: \purple{200 \: cm} \: = \green{h}$

Hence, the height of cylinder is 200 cm.

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