Question

What is the curved surface area of a cylinder whose radius is 2cm height is 14 cm​

Answer 1

Given :

• Radius of cylinder = 2 cm
• Height of cylinder = 14 cm

To Find :

• The curved surface area of cylinder

Solution :

Curved surface area of cylinder is given by ,

$\\ \star \: {\boxed{\purple{\sf{CSA_{(cylinder) } = 2\pi rh}}}}$

Where ,

• r is radius of cylinder
• h is height of cylinder

We have ,

• r = 2 cm
• h = 14 cm

Substituting the values ,

$\\ : \implies \sf \: CSA_{(cylinder)} = 2 \times \frac{22}{7} \times 2 \times 14$

$\\ : \implies \sf \:CSA_{(cylinder)} = 2 \times 22 \times 2 \times 2$

$\\ : \implies \sf \:CSA_{(cylinder)} = 8 \times 22$

$\\ : \implies{\underline{\boxed{\pink{\mathfrak{CSA_{(cylinder)} = 176 \: {cm}^{2} }}}}} \: \bigstar$

Hence ,

• The Curved surface area of the given cylinder is 176 cm².

Answer 2

A N S W E R :

• The curved surface area of a cylinder radius is = $\large{\rm{176~cm²}}$

Given :-

• Radius of cylinder = 2 cm
• Height of cylinder = 14 cm

To find :-

• Find the curved surface area of a cylinder ?

★ $\large\underline{\frak{As~we~know~that,}}$

$\large\dag$ Formula Used :

• $\boxed{\bf{CSA_{cylinder} = 2πrh}}$$\large\star$

Solution :-

• Curved surface area of a cylinder

So,

• R is radius of cylinder
• H is height of cylinder

Now,

• R = 4 cm
• H = 12 cm

• Substituting the value,

:$\implies$${\rm{CSA_{(cylinder)} = 2 × \frac{22}{7} × 2 × 14}}$

$~~~~~$:$\implies$${\rm{CSA_{(cylinder)} = 2 × 22 × 2 × 2}}$

$~~~~~~~~~~$:$\implies$${\rm{CSA_{(cylinder)} = 8 × 22}}$

$~~~~~~~~~~~~~~~$:$\implies$${\underline{\boxed{\pink{\frak{CSA_{(cylinder)} = 176 cm²}}}}}$★

$\large\dag$ Hence,

• The curved surface area of the cylinder is = $\large\underline{\rm{176 cm²}}$.