How To Find / Calculate Volume of Cylinder
Definition of Cylinders (Tubes)
Cylinder or tube is a regular three-dimensional shape in the form of a rod with a circular cross section and has a certain height.
Radius, Diameter and Height of a Cylinder
The dimensions of a cylinder or tube are expressed regarding the radius or diameter of the tube cross section and the height of the tube. The diameter of a tube can be shorter, equal to or longer than the height of the tube. If the height the dimension of the cylinder is larger than its diameter, this height dimension is sometimes called the length of the cylinder, for example, on an iron bar. If the height the dimension of the cylinder is much smaller than its diameter, this height dimension is sometimes referred to as the thickness of the cylinder, for example, on coins. The cylinder radius is often referred to as the cylinder radius.
Formula to Calculate Cylinder Volume
To calculate the volume or contents of a cylinder, we must know the dimensions of the radius or diameter (where diameter = 2x radius) and height of the cylinder. The formula to calculate the cylinder volume is as follows:
volume = pi x radius x radius x height
The formula calculates the volume of the cylinder or tube
Where pi = 22/7
This formula is often written more abbreviated as V = pi x r x r x t. The volume of a cylinder is basically the area of the tube's cross-section multiplied by the height of the tube. In the formula pi x r x r is the area of the cylindrical cross-section of the cylinder. It should be noted that in calculating the volume of a cylinder using the formula above, the radius (or diameter) dimension and height must be in the same unit. The unit of volume is a unit of cubic length, for example, cubic millimeter (mm3), cubic centimeter (cm3), cubic meter (m3), and so on.
Example of Cylinder Volume Calculation
Example Problem 1
Problem: What is the volume of a tube that has a diameter of 20 cm and a height of 28 cm? (Hint: cylinder volume = pi x radius x radius x height).
Answer:
The cylinder radius is half of the diameter, which is 10 cm.
The volume of the tube = (7/22) x 10 cm x 10 cm x 28 cm = 8,800 cm3.
Example Problem 2
Problem: A piece of wood is formed into a cylinder with a cross-sectional area of 240 cm2. The wood cylinder is 50 cm high. What is the volume of the wooden cylinder? (Hint: cylinder volume = area of circle x height).
Answer:
The volume of the wooden cylinder = 240 cm2 x 50 cm = 12,000 cm3.
Example Problem 3
Problem: A 7-meter-long bar has a circular cross section with a diameter of 1 cm. What is the volume of the iron rod in cubic centimeters? (Hint: cylinder volume = pi x radius x radius x height).
Answer:
The length of the iron = cylinder height is 7 m = 700 cm.
Cylinder radius = half times the diameter of the iron bar that is 0.5 cm.
The volume of the iron bar = (22/7) x 0.5 cm x 0.5 cm x 700 cm = 550 cm3.
Example Problem 4
Problem: A metal coin has a thickness of 1.4 mm and a diameter of 20 mm. What is the volume of the coin? (Hint: cylinder volume = pi x radius x radius x height).
Answer:
Coin thickness = cylinder height of 1.4 mm.
Coin radius = half times the diameter of 10 mm.
Volume of coins = (22/7) x 10 mm x 10 mm x 1.4 mm = 440 mm3.
Example Problem 5
Problem: A block of ice cube is printed forming a cylinder with the size of the radius of the cylinder and the thickness is the same that is 35 cm. What is the volume of the ice cylinder? (Hint: cylinder volume = pi x radius x radius x height).
Answer:
Radius = cylinder radius which is 35 cm.
Height of cylinder = cylinder thickness = 35 cm.
The volume of the ice cylinder = (7/22) x 35 cm x 35 cm x 35 cm = 134,750 cm3.
Cylinder or tube is a regular three-dimensional shape in the form of a rod with a circular cross section and has a certain height.
Radius, Diameter and Height of a Cylinder
The dimensions of a cylinder or tube are expressed regarding the radius or diameter of the tube cross section and the height of the tube. The diameter of a tube can be shorter, equal to or longer than the height of the tube. If the height the dimension of the cylinder is larger than its diameter, this height dimension is sometimes called the length of the cylinder, for example, on an iron bar. If the height the dimension of the cylinder is much smaller than its diameter, this height dimension is sometimes referred to as the thickness of the cylinder, for example, on coins. The cylinder radius is often referred to as the cylinder radius.
Formula to Calculate Cylinder Volume
To calculate the volume or contents of a cylinder, we must know the dimensions of the radius or diameter (where diameter = 2x radius) and height of the cylinder. The formula to calculate the cylinder volume is as follows:
volume = pi x radius x radius x height
The formula calculates the volume of the cylinder or tube
Where pi = 22/7
This formula is often written more abbreviated as V = pi x r x r x t. The volume of a cylinder is basically the area of the tube's cross-section multiplied by the height of the tube. In the formula pi x r x r is the area of the cylindrical cross-section of the cylinder. It should be noted that in calculating the volume of a cylinder using the formula above, the radius (or diameter) dimension and height must be in the same unit. The unit of volume is a unit of cubic length, for example, cubic millimeter (mm3), cubic centimeter (cm3), cubic meter (m3), and so on.
Example of Cylinder Volume Calculation
Example Problem 1
Problem: What is the volume of a tube that has a diameter of 20 cm and a height of 28 cm? (Hint: cylinder volume = pi x radius x radius x height).
Answer:
The cylinder radius is half of the diameter, which is 10 cm.
The volume of the tube = (7/22) x 10 cm x 10 cm x 28 cm = 8,800 cm3.
Example Problem 2
Problem: A piece of wood is formed into a cylinder with a cross-sectional area of 240 cm2. The wood cylinder is 50 cm high. What is the volume of the wooden cylinder? (Hint: cylinder volume = area of circle x height).
Answer:
The volume of the wooden cylinder = 240 cm2 x 50 cm = 12,000 cm3.
Example Problem 3
Problem: A 7-meter-long bar has a circular cross section with a diameter of 1 cm. What is the volume of the iron rod in cubic centimeters? (Hint: cylinder volume = pi x radius x radius x height).
Answer:
The length of the iron = cylinder height is 7 m = 700 cm.
Cylinder radius = half times the diameter of the iron bar that is 0.5 cm.
The volume of the iron bar = (22/7) x 0.5 cm x 0.5 cm x 700 cm = 550 cm3.
Example Problem 4
Problem: A metal coin has a thickness of 1.4 mm and a diameter of 20 mm. What is the volume of the coin? (Hint: cylinder volume = pi x radius x radius x height).
Answer:
Coin thickness = cylinder height of 1.4 mm.
Coin radius = half times the diameter of 10 mm.
Volume of coins = (22/7) x 10 mm x 10 mm x 1.4 mm = 440 mm3.
Example Problem 5
Problem: A block of ice cube is printed forming a cylinder with the size of the radius of the cylinder and the thickness is the same that is 35 cm. What is the volume of the ice cylinder? (Hint: cylinder volume = pi x radius x radius x height).
Answer:
Radius = cylinder radius which is 35 cm.
Height of cylinder = cylinder thickness = 35 cm.
The volume of the ice cylinder = (7/22) x 35 cm x 35 cm x 35 cm = 134,750 cm3.