Question

what is the total surface area of cylinder manasakshi ulla Malayali plzzz​

Answer 1

Step-by-step explanation:

To calculate the surface area of a cylinder, first find the lateral surface area and area of circular bases of cylinder. Then add these areas to get the total surface area.

എന്നു വച്ചാൽ : T. S. A. =2πrh+2πr2 .

Answer 2

$\red\bigstar$ Explanation $\red\bigstar$

$\leadsto$ Solution:-

To find the total surface area of cylinder,

Let the radius of the cylinder be r and the height of the cylinder be h

For figure please refer the attachment given above,

Total Surface Area of the cylinder = Sum of the two area of the circles which are present at the top and bottom + Area of the Curved surface

First let's find the sum of the areas of the two circles,

The radius of the cylinder is r

We know that area of circle = πr²

Therefore,

Sum of the two circles = πr² + πr² = 2πr²

Now let's find the area of the Curved surface,

To find area of the Curved surface first we need unwrap the curved such that it forms a rectangle.

From the figure in attachment,

We get to know that the breadth of the curved surface = Circumference of circle

The length of the curved surface = Height of the cylinder = h

We know that circumference of circle = 2πr

Therefore,

The breadth of the curved surface = 2πr

The length of the curved surface = h

As it is a rectangle,

Therefore,

Area of the curved surface = Length $\times$ Breadth = 2πrh

Therefore,

Total surface area of the cylinder = 2πr² + 2πrh = 2πr(r + h) [Taking 2πr common]

$\boxed{Total\:Surface\:Area\:of\: Cylinder = 2πr(r + h)}$