Find the Volume
Use 3.14 for π. V = πr²h. Round to 2 decimal places.
Cylinder Volume Challenge!
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Volume of Cylinder Game
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This Volume of Cylinder Game is a great way to put your skills to the test in a fun environment. By practicing, you’ll start to work out the answers efficiently.
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Volume of Cylinder Game
The volume (V) of a cylinder is calculated by finding the area of the circular base and multiplying it by the height.
Here is the formula: V = Base Area × Height = πr2h. Scroll down the page for a more detailed explanation.
In this game, you may select “Find Volume” or “Find Height” or “Find Radius”, or “Mixed Questions”. If you give a wrong answer, the game will provide the correct answer.
Score: 0 / 0
How to Play the Volume of Cylinder Game
In the game, you need to find the volume of a cylinder, find missing height, or find missing radius.
Here’s how to play:
- Choose your challenge: Select “Find Volume”, “Find Height”, “Find Radius”, or “Mixed Questions”.
- Find Volume: Calculate volume given the radius and height.
- Find Height: Calculate height given the volume and the radius.
- Find Radius: Calculate radius given the volume and the height.
- Enter Your Answer: Enter in the answer.
- Check Your Work: Click the “Check” button (or press the Enter key). The game will tell you if you’re correct. If you are wrong, you will be shown the correct answer.
- Get a New Problem: Click the “Next” button for a new problem.
Your score is tracked at the top, showing how many you’ve gotten right out of the total you’ve tried. - Back to Menu Click “Menu” to restart the game.
Find the Volume of a Cylinder
The volume (V) of a cylinder is found by taking the area of its circular base (B) times its height (h).
The formula is:
V = Base Area × Height
Since the base of a cylinder is always a circle, and the area of a circle is πr2:
V = πr2h
Where:
V is the Volume.
π (pi) is the constant approximately equal to 3.14.
r is the radius of the circular base.
h is the height.
Find the Height of a Cylinder
Rearrange the standard formula for the volume of a cylinder to solve for the height (h)
\(V = \pi r^2 h\)
\(h = \frac{V}{\pi r^2}\)
Find the Radius of a Cylinder
Rearrange the standard formula for the volume of a cylinder to solve for the radius (r)
\(V = \pi r^2 h\)
\(r = \sqrt{\frac{V}{\pi h}}\)
The video gives a clear, step-by-step approach to find the volume of a cylinder.
The video gives a clear, step-by-step approach to find the radius of a cylinder.
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