Find the Volume
Use 3.14 for π. V = ⅓πr²h. Round to 2 decimal places.
Cone Volume Challenge!
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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.
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.
Use 3.14 for π. V = ⅓πr²h. Round to 2 decimal places.
Choose your challenge:
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:
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.
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