if the daimeter of a solid cylinder with lenght 140cm is 8cm , find its curved surface area ,​

Answer :

Answer : The curved surface area of solid cylinder is [tex]3520cm^2[/tex]

Step-by-step explanation :

As we are given that:

Diameter of solid cylinder = 8 cm

Length or Height o solid cylinder = 140 cm

Formula used to calculate the curved surface area of cylinder is:

Curved surface area of cylinder = [tex]2\pi r\times h[/tex]

where,

r = radius of cylinder

h = height or length of cylinder

Radius of cylinder = [tex]\frac{Diameter}{2}=\frac{8cm}{2}=4cm[/tex]

Now putting all the given values in above formula, we get:

Curved surface area of cylinder = [tex]2\times \frac{22}{7}\times 4cm\times 140cm[/tex]

Curved surface area of cylinder = [tex]3520cm^2[/tex]

Therefore, the curved surface area of solid cylinder is [tex]3520cm^2[/tex]

Given:

Diameter of a solid cylinder = 8cm

Length (height) of cylinder = 140 cm

To find:

The curved surface area of the cylinder.

Solution:

We have,

Diameter = 8cm

Radius = [tex]\dfrac{8}{2}=4\text{ cm}[/tex]

Height = 140 cm

Curved surface area of a cylinder is

[tex]CSA=2\pi rh[/tex]

where, r is radius and h is height.

Putting r=4 and h=140 in the above formula, we get

[tex]CSA=2\times \dfrac{22}{7}\times 4\times 140[/tex]

[tex]CSA=2\times 22\times 4\times 20[/tex]

[tex]CSA=3520[/tex]

Therefore, the curved surface area of the cylinder is 3520 square cm.