Surface Area of a Cylinder Calculator

 Geometry deals with shapes, structures, lines, planes and angle’s. Cylinder is one of the basic shapes in geometry. Surface area is defined as the area that covers the whole cylinder. Surface area is also defined as the area of a material that is required to cover the whole shape of cylinder. Surface area of a cylinder calculator is nothing but a calculator that is used to the surface area of cylinder. These calculators are very useful for solving tough problems. When the radius and height of the cylinder is entered in the calculator, it automatically generates the output. The diagrammatic representation of surface area of a cylinder calculator is shown below,

 

Surface area of cylinder calculator

 

Formula for Calculating Surface Area of a Cylinder:

 

The formula for calculating the surface area of cylinder is given as,

Surface Area = Areas of top and bottom of cylinder +Area of the side

Surface Area = 2(Area of top) + (perimeter of top)* height

Surface Area = 2(pi r 2) + (2 pi r)* h

Surface area = 2pir(r + h).

Where, h = height of the cylinder,

            r = radius of the circle.

 

Surface Area of Cylinder Problems:

 

Example 1:

Find the total surface area of a cylindrical tin of radius 11.5 cm and height 5.5 cm.

Surface area of cylinder calculator

Solution:

Given:

 Formula for finding the base area of the cylinder is given as,

Surface area = 2pir(r + h).

SA = 2*3.14*11.5(11.5 + 5.5)

      = 6.28*11.5(17)

      = 72.22*17

      = 1227.74 cm2.

The answer is 1227.74 cm2.

 

Example 2:

Find the base area of cylinder whose diameter is 12 cm and height is 7 cm.

Surface area of cylinder calculator

Solution:

Formula for finding the base area of the cylinder is given as,

Surface area = 2pir(r + h).

Radius = diameter/2

           = 12/2

      r    = 6cm

Now solve for the base area of cylinder,

SA = 2*3.14*6(6+ 7)

      = 6.28*6(13)

     = 37.68*13

     = 489.84 cm2.

The answer is 489.84 cm2.

 

Example 3:

Find the base area of cylinder whose diameter is 26 cm and height is 9 cm.

Surface area of cylinder calculator

Solution:

Formula for finding the base area of the cylinder is given as,

Surface area = 2pir(r + h).

Radius = diameter/2

           = 26/2

      r    = 13 cm

Now solve for the base area of cylinder,

SA = 2*3.14*13(13 + 9)

      = 6.28*13(22)

     = 81.64*22

     = 1796.08 cm2.

The answer is 1796.08 cm2.