How to find out the volume of a cylinder?
Understand the Problem
The question is asking how to calculate the volume of a cylinder, which involves using the formula for volume based on the cylinder's radius and height.
Answer
$V = \\pi r^2 h$
Answer for screen readers
The final answer is the volume calculated based on provided radius and height, using the formula $V = \pi r^2 h$
Steps to Solve
- Know the formula for the volume of a cylinder
The volume $V$ of a cylinder can be calculated using the formula: $$V = \pi r^2 h$$ where $r$ is the radius of the base of the cylinder and $h$ is the height of the cylinder.
- Substitute the radius and height values into the formula
Assume you have the radius ($r$) and height ($h$) of the cylinder. Substitute these values into the formula.
- Calculate the volume
Multiply the value of $\pi$ (usually approximated as 3.14 or you can use the more accurate value $\pi \approx 3.14159$) by the square of the radius ($r^2$), and then multiply by the height ($h$). This will give the volume $V$: $$V = \pi r^2 h$$
The final answer is the volume calculated based on provided radius and height, using the formula $V = \pi r^2 h$
More Information
The volume of a cylinder is a measure of how much space the cylinder occupies. It's commonly used in real-world applications, such as determining the capacity of a container.
Tips
A common mistake is not squaring the radius before multiplying by the height and $\pi$. Ensure to follow the order of operations correctly.