Volume of Cone Game


 

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This Volume of Cone 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 Cone Game
The volume (V) of a cone is found by taking one-third of the area of its circular base (B) times its height (h).
Here is the formula: \(V = \frac{1}{3} \times \text{Base Area} \times \text{Height}\). 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

Find the Volume

Use 3.14 for π. V = ⅓πr²h. Round to 2 decimal places.


 

How to Play the Volume of Cone Game
In the game, you need to find the volume of a cone, find missing height, or find missing radius.
Here’s how to play:

  1. Choose your challenge: Select “Find Volume”, “Find Height”, “Find Radius”, or “Mixed Questions”.
  2. Find Volume: Calculate volume given the radius and height.
  3. Find Height: Calculate height given the volume and the radius.
  4. Find Radius: Calculate radius given the volume and the height.
  5. Enter Your Answer: Enter in the answer.
  6. 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.
  7. 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.
  8. Back to Menu Click “Menu” to restart the game.
     

Find the Volume of a Cone
The volume (V) of a cone is found by taking one-third of the area of its circular base (B) times its height (h).
The formula is:
\(V = \frac{1}{3} \times \text{Base Area} \times \text{Height}\)
Since the base of a cone is always a circle, and the area of a circle is πr2:
\(V = \frac{1}{3} \pi r^2 h\)
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 perpendicular height (the distance from the apex straight down to the center of the base).
 

Find the Height of a Cone
Rearrange the standard formula for the volume of a cone to solve for the height (h)
\(V = \frac{1}{3} \pi r^2 h\)

\(h = \frac{3V}{\pi r^2}\)
 

Find the Radius of a Cone
Rearrange the standard formula for the volume of a cone to solve for the radius (r) \(V = \frac{1}{3} \pi r^2 h\)

\(r = \sqrt{\frac{3V}{\pi h}}\)
 

The video gives a clear, step-by-step approach to find the volume of a cone.

The video gives a clear, step-by-step approach to find the height of a cone.
The video gives a clear, step-by-step approach to find the radius of a cone.

 

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