# Find Volume Of Cylinder Worksheet

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Find volume of cylinder topic involves calculating the volume of a 3-dimensional geometric shape called a cylinder which is a circular prism with two parallel circular bases and a curved surface that  connects them.

Formula to find the volume  of a cylinder is  V = π×r^2×h, where π (text{pi}) is approximately equal to 3.14159 (which is constant), r is the radius, and h is the height.

Algebra 1
Geometry And Measurement

## How Will This Worksheet on "Find Volume of Cylinder" Benefit Your Student's Learning?

• Volume of a cylinder worksheets provide an interactive way for students to learn and visualize the concept.
• This allows students to clear their concepts as they progress through each section successfully.
• Offering flexibility for different learning paces.
• This real-world application helps students understand the practical relevance of the concept.

## How to Find Volume of Cylinder?

• Firstly identify the given measurements: Find the radius of the base and the height of the cylinder.
• Formula to be used:  V = π×r^2×h where π is approximately equal to 3.14, r is the radius of the base, and h is the height.
• Substitute the values of given radius and height into the formula then calculate the volume.
• Simplify the expression by multiplying the radius squared by the height and then multiplying by π. If necessary, use a calculator to find the value of π.
• Ensure final answer should be in cubic units, such as cubic centimeters or cubic meters.

## Solved Example

Q. A cylinder has a base radius of $5 \mathrm{~cm}$ and a height of $16 \mathrm{~cm}$. What is its volume in cubic $\mathrm{cm}$, to the nearest tenths place?
Solution:
1. Formula Explanation: The formula to calculate the volume of a cylinder is $V = \pi r^2 h$, where $r$ is the radius of the base and $h$ is the height of the cylinder.
2. Substitution Step: Substitute the given values into the formula: $r = 5 \, \text{cm}$ and $h = 16 \, \text{cm}$. $\newline$$V = \pi(5 \, \text{cm})^2(16 \, \text{cm})$
3. Volume Calculation: Calculate the volume using the substituted values:$\newline$$V = \pi(25 \, \text{cm}^2)(16 \, \text{cm})$$\newline$$V = \pi(400 \, \text{cm}^3)$
4. Pi Calculation: Use the value of $\pi$ (approximately $3.14159$) to calculate the volume: $V \approx 3.14159 \times 400 \, \text{cm}^3$$\newline$ $V \approx 1256.636 \, \text{cm}^3$
5. Rounding Step: Round the volume to the nearest tenth:$\newline$ $V \approx 1256.6\,\text{cm}^3$

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