Enter the radius and height of the half cylinder into the calculator to determine its volume; this calculator can also evaluate any of the variables given the others are known.
Half Cylinder Volume Formula
The following formula is used to calculate the volume of a half cylinder:
V = (π * r^2 * h) / 2
Variables:
- V is the volume of the half cylinder
- r is the radius of the base of the half cylinder
- h is the height of the half cylinder
To calculate the volume of a half cylinder, square the radius of the base, multiply it by the height, and then multiply the result by π. Finally, divide the product by 2.
What is a Half Cylinder Volume?
A half-cylinder volume refers to the amount of space that a half-cylinder can hold. A half cylinder is essentially a cylinder that has been cut in half lengthwise. The volume of a half cylinder can be calculated using the formula for the volume of a full cylinder, which is V=πr²h, where r is the radius of the base of the cylinder, and h is the height of the cylinder. However, since we are dealing with a half cylinder, we need to divide this volume by 2. Therefore, the formula for the volume of a half cylinder becomes V=1/2πr²h. This formula is used in various fields, such as engineering, architecture, and mathematics, to determine the capacity of a half-cylindrical object or space.
How to Calculate Half Cylinder Volume?
The following steps outline how to calculate the volume of a half cylinder.
- First, determine the radius of the base of the half cylinder (r).
- Next, determine the height of the half cylinder (h).
- Next, use the formula for the volume of a cylinder: V = π * r^2 * h / 2.
- Finally, calculate the volume of the half cylinder.
- After inserting the values of r and h into the formula and calculating the result, check your answer with a calculator.
Example Problem:
Use the following variables as an example problem to test your knowledge.
Radius of the base (r) = 5 cm
Height (h) = 10 cm
