Cylinder Surface Area and Volume Calculator
The Cylinder Surface Area and Volume Calculator allows you to calculate the surface area (area) and the volume (capacity) of a cylinder. These calculations are based on mathematical formulas.
RELATED CALCULATOR: Circle Circumference and Area Calculator
How to Use the Cylinder Surface Area and Volume Calculator
Radius and Height: The first step is to enter the values of the radius and height needed for the calculation. The radius represents the distance from the center of the cylinder’s base to its edge, while the height is the distance from the base to the top of the cylinder.
Input Fields: Separate input fields are provided for the radius and height values. Positive numbers must be entered in these fields, and both values should be greater than 0.
Calculate: Once you click the “Calculate” button, the surface area and volume of the cylinder will be calculated based on the entered radius and height values.
Results: Once the calculation is complete, the cylinder’s surface area and volume are displayed on the screen in specified units (such as square meters and cubic meters). The results will appear in the results section on the page.
How Are the Surface Area and Volume of a Cylinder Calculated?
Surface Area Calculation
The surface area of a cylinder consists of two main components:
Base Area:
The area of the base of a cylinder is calculated using the formula for the area of a circle:
Base Area=πr2
where rrr is the radius of the cylinder.
Lateral Surface Area:
The lateral surface area of the cylinder is obtained by multiplying the circumference of the circular base by the height of the cylinder:
Lateral Area=2πrh
where rrr is the cylinder’s radius and hhh is its height.
The total surface area is the sum of the base area and the lateral surface area:
Total Area=2πr2+2πrh
Volume Calculation
The volume of a cylinder is calculated by multiplying the area of the base by the height of the cylinder:
Volume=Base Area×h=πr2×h
where rrr is the radius of the cylinder, and hhh is its height.
Examples of Using the Cylinder Surface Area and Volume Calculator
Construction and Engineering: Architects and engineers can use this tool to calculate the surface area and volume of cylindrical structures. For instance, it can be used to determine the capacity of water tanks or pipes.
Educational Purposes: In educational settings, this tool helps students learn to calculate the surface area and volume of cylinders in geometry lessons.
It’s important to enter valid values. Negative values or zero are not valid inputs for a cylinder’s radius or height.
The results are calculated using accurate mathematical formulas and are presented as precise outputs on the page.
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