To work out the volume of a cylinder, multiply one half of the diameter (this is known as the radius) by itself and then multiply by Pi to find the area. Then multiply the area by the length of the cylinder.
For a cylinder with a height of 8cm and radius of 3cm the calculation would look like this:
Radius x Radius ( 3 x 3 ) = 9
Answer x Pi ( 9 x 3.14159265 ) = 28. 27433385
Answer x Length ( 28. 27433385 x 8 ) = 226.19467
Another example would be: You have a cylinder that is six inches wide and eight inches long. Multiply one-half of the diameter by itself (3x3 = 9) then multiply by Pi (9x3.1416 = 28.2744). Now multiply by the length (28.2744x8 = 226.1952). The volume of the cylinder is 226.2 (rounded off) cubic inches.
The cylinder is one of the most basic curvilinear geometric shapes, the surface formed by the points at a fixed distance from a given line segment, the axis of the cylinder. The solid enclosed by this surface and by two planes perpendicular to the axis is also called a cylinder. The surface area and the volume of a cylinder have been known since antiquity.
To calculate the volume of a cylinder you need to know the radius and the height or length.
The formula is: R x r x pi x h (where r is radius and h is height)
Pi is 3.14159265 or 3.1416.
Example:
Where the radius is 6 inches and the height is 10 inches the calculation would look like this:
6 x 6 x 3.1416 x 10 = 1130.9760 cubic inches (or 1131 cubic inches rounded up).
This can be done on a calculator in one go or in several stages. You could do the first part of the calculation i.e. 6 inches x 6 inches = 36 sq inches. Then multiply by pi and then multiply by the height or length, giving the answer in cubic inches.
The calculation can also be done online and the method can be seen in action on video maths lessons on the internet.
A cylinder can be any size but it must have a circular base and top and a given height or length. It is a long established geometric shape and has a range of uses from temporary packaging to longer term storage such as fuel tanks.
As cylinders are regularly used to hold or transport liquids it is frequently necessary to know how much the container can hold. This can be found out by calculating the volume.
To do this you must first find out the area of the base and the height or length of the cylinder. The size of the base from side to side is known as the diameter. Half of this measurement is called the radius i.e. From the centre to the edge. To find the area of the base calculate the radius and multiply it by itself (squared) and then multiply by pi.
For a cylinder with a height of 8cm and radius of 3cm the calculation would look like this:
Radius x Radius ( 3 x 3 ) = 9
Answer x Pi ( 9 x 3.14159265 ) = 28. 27433385
Answer x Length ( 28. 27433385 x 8 ) = 226.19467
Another example would be: You have a cylinder that is six inches wide and eight inches long. Multiply one-half of the diameter by itself (3x3 = 9) then multiply by Pi (9x3.1416 = 28.2744). Now multiply by the length (28.2744x8 = 226.1952). The volume of the cylinder is 226.2 (rounded off) cubic inches.
The cylinder is one of the most basic curvilinear geometric shapes, the surface formed by the points at a fixed distance from a given line segment, the axis of the cylinder. The solid enclosed by this surface and by two planes perpendicular to the axis is also called a cylinder. The surface area and the volume of a cylinder have been known since antiquity.
To calculate the volume of a cylinder you need to know the radius and the height or length.
The formula is: R x r x pi x h (where r is radius and h is height)
Pi is 3.14159265 or 3.1416.
Example:
Where the radius is 6 inches and the height is 10 inches the calculation would look like this:
6 x 6 x 3.1416 x 10 = 1130.9760 cubic inches (or 1131 cubic inches rounded up).
This can be done on a calculator in one go or in several stages. You could do the first part of the calculation i.e. 6 inches x 6 inches = 36 sq inches. Then multiply by pi and then multiply by the height or length, giving the answer in cubic inches.
The calculation can also be done online and the method can be seen in action on video maths lessons on the internet.
A cylinder can be any size but it must have a circular base and top and a given height or length. It is a long established geometric shape and has a range of uses from temporary packaging to longer term storage such as fuel tanks.
As cylinders are regularly used to hold or transport liquids it is frequently necessary to know how much the container can hold. This can be found out by calculating the volume.
To do this you must first find out the area of the base and the height or length of the cylinder. The size of the base from side to side is known as the diameter. Half of this measurement is called the radius i.e. From the centre to the edge. To find the area of the base calculate the radius and multiply it by itself (squared) and then multiply by pi.
