Find Volume Of Cylinder Worksheet

Algebra 1
Geometry And Measurement

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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 cm 5 \mathrm{~cm} and a height of 16 cm 16 \mathrm{~cm} . What is its volume in cubic cm \mathrm{cm} , to the nearest tenths place?
Solution:
  1. Formula Explanation: The formula to calculate the volume of a cylinder is V=πr2hV = \pi r^2 h, where rr is the radius of the base and hh is the height of the cylinder.
  2. Substitution Step: Substitute the given values into the formula: r=5cmr = 5 \, \text{cm} and h=16cmh = 16 \, \text{cm}. \newlineV=π(5cm)2(16cm)V = \pi(5 \, \text{cm})^2(16 \, \text{cm})
  3. Volume Calculation: Calculate the volume using the substituted values:\newlineV=π(25cm2)(16cm)V = \pi(25 \, \text{cm}^2)(16 \, \text{cm})\newlineV=π(400cm3)V = \pi(400 \, \text{cm}^3)
  4. Pi Calculation: Use the value of π\pi (approximately 3.141593.14159) to calculate the volume: V3.14159×400cm3V \approx 3.14159 \times 400 \, \text{cm}^3\newline V1256.636cm3V \approx 1256.636 \, \text{cm}^3
  5. Rounding Step: Round the volume to the nearest tenth:\newline V1256.6cm3V \approx 1256.6\,\text{cm}^3
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About Worksheet

Algebra 1
Geometry And Measurement

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.

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