Question

the circumference of the base of a right circular cylinder is 220 cm if the height of the cylinder is 2m find the curved surface area of the cylinder​. plz give the answer in detail with explanation​

Answer 1

Given :

• Circumference of the base of a right circular cylinder is 220 cm .
• Height of the cylinder is 2 m .

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 :

$\longmapsto\tt{220=2\times\dfrac{22}{7}\times{r}}$

$\longmapsto\tt{220\times{7}=44\:r}$

$\longmapsto\tt{1540=44\:r}$

$\longmapsto\tt{\cancel\dfrac{1540}{44}=r}$

$\longmapsto\tt\bf{35\:cm=r}$

Now ,

For Curved Surface Area :

$\longmapsto\tt{Height=2\:m=200\:cm}$

Using Formula :

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

Putting Values :

$\longmapsto\tt{2\times\dfrac{22}{{\cancel{7}}}\times{{\cancel{35}}}\times{200}}$

$\longmapsto\tt{44\times{5}\times{200}}$

$\longmapsto\tt\bf{44,000\:{cm}^{2}}$

So , The Curved Surface Area of Cylinder is 44,000 cm² .

Answer 2

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Question :

• The circumference of the base of a right circular cylinder is 220 cm if the height of the cylinder is 2 m. Find the curved surface area of the cylinder.

Answer :

• Curved surface area(C.S.A) of cylinder = 44,000 m²

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Step by step explanation :

• Radius of base of cylinder = ?
• Height of cylinder = 2 m = 200 cm

Using formula :

$\qquad\red\bigstar\:{\underline{\boxed{\bf{Circumference\:of\:circle = 2\pi r}}}}$

Putting all known values :

➵ㅤㅤㅤ220 = 2 × 22/7 × r

➵ㅤㅤㅤ220 × 7/22 × 1/2 = r

➵ㅤㅤㅤr = 10 × 7 × 1/2

➵ㅤㅤㅤr = 5 × 7

➵ㅤㅤㅤRadius = 35 cm

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Using formula :

$\qquad\red\bigstar\:{\underline{\boxed{\bf{C.S.A\:of\:cylinder = 2\pi rh}}}}$

Putting all known values :

➵ㅤC.S.A(cylinder) = 2 × 22/7 × 35 × 200

➵ㅤC.S.A(cylinder) = 2 × 22 × 5 × 200

➵ㅤC.S.A(cylinder) = 44 × 1000

➵ㅤC.S.A(cylinder) = 44,000 m²

∴ Curved surface area(C.S.A) of cylinder ㅤ= 44,000 m²

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