Introduction:
A cylinder is one of the most basic curvilinear geometric shapes, the surface formed by the points at a fixed distance from a given straight line, the axis of the cylinder. The solid enclosed by this surface and by two planes perpendicular to the axis is also called a cylinder (source form Wikipedia). Here we are going to learn about the calculation of surface area of the cylinder and its example problems.
I like to share this Cylinder Volume with you all through my article.
The following figure represents the cylinder,
Area of the top portion is pi r^2
Area of the bottom is pi r^2
Area of the side is 2 pi r h
Therefore surface area of the cylinder is A = 2pi r^2 + 2 pi r h
Example for Area Calculations:
Here are few examples for the calculation of surface area of a cylinder,
Example 1:
Calculate the total surface area of a cylindrical tin of radius 15 cm and height 3 cm.
Calculation:
Given, the radius of the cylinder is (r) = 15 cm
Height (h) = 3cm
We know that formula for find the surface area of the cylinder is,
A = 2pi r^2 + 2 pi r h
Here both term 2 pi r is common so take out
A= 2 pi r (r+h)
Substitute the height and radius value in the above formula
A= 2 * pi * 15 (15+3)
A = 2 * 3.14 *15 (18)
A = 94.2 *18
A= 1695.6
Therefore the total surface area of the cylindrical tin is 1695.6 cm^2
Between, if you have problem on these topics what is the substitution method, please browse expert math related websites for more help on solving a system of linear equations.
Area Calculations:
Find the surface area of the cylinder the diameter of the base is 12 cm and the height is 8 cm.
Calculation:
Here the given data is the diameter, so we have to find the radius for area calculation,
Radius = (diameter / 2)
Therefore (12/2) = 6 cm
Now we calculate the surface area of the cylinder,
A= 2 pi r (r+h)
r = 6 cm
h= 8cm
Substitute the above formula,
A = 2 * 3.14 *6 (6+8)
A= 37.68 * 14
A=527.52
Therefore the total surface area of the cylinder is 527.52 cm^2
A cylinder is one of the most basic curvilinear geometric shapes, the surface formed by the points at a fixed distance from a given straight line, the axis of the cylinder. The solid enclosed by this surface and by two planes perpendicular to the axis is also called a cylinder (source form Wikipedia). Here we are going to learn about the calculation of surface area of the cylinder and its example problems.
I like to share this Cylinder Volume with you all through my article.
The following figure represents the cylinder,
Area of the bottom is pi r^2
Area of the side is 2 pi r h
Therefore surface area of the cylinder is A = 2pi r^2 + 2 pi r h
Example for Area Calculations:
Here are few examples for the calculation of surface area of a cylinder,
Example 1:
Calculate the total surface area of a cylindrical tin of radius 15 cm and height 3 cm.
Calculation:
Given, the radius of the cylinder is (r) = 15 cm
Height (h) = 3cm
We know that formula for find the surface area of the cylinder is,
A = 2pi r^2 + 2 pi r h
Here both term 2 pi r is common so take out
A= 2 pi r (r+h)
Substitute the height and radius value in the above formula
A= 2 * pi * 15 (15+3)
A = 2 * 3.14 *15 (18)
A = 94.2 *18
A= 1695.6
Therefore the total surface area of the cylindrical tin is 1695.6 cm^2
Between, if you have problem on these topics what is the substitution method, please browse expert math related websites for more help on solving a system of linear equations.
Area Calculations:
Find the surface area of the cylinder the diameter of the base is 12 cm and the height is 8 cm.
Calculation:
Here the given data is the diameter, so we have to find the radius for area calculation,
Radius = (diameter / 2)
Therefore (12/2) = 6 cm
Now we calculate the surface area of the cylinder,
A= 2 pi r (r+h)
r = 6 cm
h= 8cm
Substitute the above formula,
A = 2 * 3.14 *6 (6+8)
A= 37.68 * 14
A=527.52
Therefore the total surface area of the cylinder is 527.52 cm^2
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