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.

1. First, determine the radius of the base of the half cylinder (r).
2. Next, determine the height of the half cylinder (h).
3. Next, use the formula for the volume of a cylinder: V = π * r^2 * h / 2.
4. Finally, calculate the volume of the half cylinder.
5. 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