Question

find the CSA of a cylinder whose circumference is 44cm and height is 14 cm​

Answer 1

Given

We have given circumference of a Cyclinder is 44cm and height is 14cm.

To Find

We have to find the curved surface area of Cyclinder.

$\sf\huge {\underline{\underline{{Solution}}}}$

Since , we don't have given the radius of Cyclinder so, we have to find.

We'll find by using the circumference of circle formula :

Circumference of Circle=2πr

Given circumference is 44

$\sf\implies2\pi \: r = 44$

$\sf\implies2 \times \dfrac{22}{7} \times r = 44$

$\sf\implies \dfrac{44}{7} \times r = 44$

$\sf\implies \: r = 44 \times \dfrac{7}{44}$

$\sf\implies \: radius = 7$

$\sf \: \therefore \: radius \: is \:\red{ 7cm}$

Curved surface area of Cyclinder= 2πrh

$\sf\implies2 \times \dfrac{22}{7} \times 7 \times 14$

$\sf\implies44 \times 14= \green{616} {cm}^{2}$

$\sf \: \therefore$

Curved Surface area of Cyclinder is 616cm²

Extra information=>

• Total surface area of Cyclinder= 2πr(r+h)
• Volume of cylinder= πr²h

Curved surface area is the area of the surface.

Total surface area is the total area of the surface from its top and bottom.

Answer 2

Given :

• Circumference = 44cm

• Height = 14cm

To Find :

• Curved Surface area

Solution :

✬ Here in the question we are given that Circumference of cylinder is 44cm. So, Circumference is 2πr. Firstly by Putting the values in the Circumference we will find the Radius. Then by using formula Curved Surface area of cylinder is 2πrh we will the Required Curved Surface area of cylinder.

Circumference = 44cm

➛ 2πr = 44cm

➛ 2 × 22/7 × r = 44

➛ 44/7 × r = 44

➛ Radius = 7cm

Curved Surface area = 2πrh

➛ 2 × 22/7 × 7 × 14

➛ 44 × 14

➛ 616cm²

∴ CSA of cylinder is 616cm²