Question

find find the the curved surface area of cylinder circumference whose base is 88 cm and height is 5 cm ​

Answer 1

given →

• circumference of base of cylinder = 88 cm
• height of cylinder = 5cm

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to find →

• curved surface area of the cylinder

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solution →

we know that,

• circumference of circle = 2πr

➟ 2πr = 88cm

➟ 2 × 22/7 × r = 88 cm

➟ 44r/7 = 88 cm

➟ 44r = 88 × 7 cm

➟ r = (88 × 7)/44 cm

➟ r = 2 × 7 cm

➟ r = 14 cm

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now, we know that,

• curved surface area of cylinder = 2πrh

➟ 2 × 22/7 × 14 × 5

➟ 2 × 22 × 2 × 5

➟ 88 × 5

➟ 440 cm²

so, curved surface area of the cylinder is 440 cm²

Answer 2

Given :

• Circumference of the base of Cylinder is 88 cm .
• Height is 5 cm .

To Find :

• Curved Surface Area of Cylinder .

Solution :

Firstly we will find the Radius of Cylinder :

Using Formula :

$\longmapsto\tt\boxed{Circumference\:of\:Circle=2\pi{r}}$

Putting Values :

$\longmapsto\tt{88=2\times\dfrac{22}{7}\times{r}}$

$\longmapsto\tt{88\times{7}=44\:r}$

$\longmapsto\tt{616=44\:r}$

$\longmapsto\tt{r=\cancel\dfrac{616}{44}}$

$\longmapsto\tt\bf{r=14\:cm}$

Now ,

For Curved Surface Area :

Using Formula :

$\longmapsto\tt\boxed{C.S.A\:of\:Cylinder=2\pi{rh}}$

Putting Values :

$\longmapsto\tt{2\times\dfrac{22}{{\cancel{7}}}\times{{\cancel{14}}}\times{5}}$

$\longmapsto\tt{44\times{2}\times{5}}$

$\longmapsto\tt{88\times{5}}$

$\longmapsto\tt\bf{440\:{cm}^{2}}$

So , The C.S.A of Cylinder is 440 cm² .