Find the Surface Area
Use 3.14 for π. Round to 2 decimal places.
Cone Surface Area!
Choose your challenge:
Surface Area of Cone Game
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This Surface Area 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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Surface Area of Cone Game
The Total Surface Area (SA) of a cone requires combining two distinct area calculations: the area of its circular base and the area of its curved side (the lateral area).
SA = πr2 + πrl
Scroll down the page for a more detailed explanation.
In this game, you may select “Find Surface Area”, “Find Lateral Area”, “Find Slant Height”, or “Mixed Questions”. If you give a wrong answer, the game will provide the correct answer.
Score: 0 / 0
How to Play the Surface Area of Cone Game
In the game, you need to find the surface area of a cone, find lateral area, or find a missing side when given the surface area.
Here’s how to play:
- Choose your challenge: Select “Find Surface Area”, “Find Lateral Area”, “Find Slant Height”, or “Mixed Questions”.
- Find Surface Area: Calculate surface area given the radius and the slant height.
- Find Lateral Area: Calculate lateral area given the radius and the slant height.
- Find Slant Height: Calculate a slant height given the vertical height and the radius.
- 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.
The Total Surface Area Formula
The total surface area (SA) is the sum of these two components:
SA = Area of Base + Lateral Area
1. Area of the Base (B)
Since the base is a circle:
Area of Base = πr2
2. Lateral Area (LA)
This is the area of the curved part of the cone. It uses the radius (r) and the slant height (l).
Lateral Area = πrl
The Complete Formula
Adding the two components gives the total surface area:
SA = πr2 + πrl
Where:
SA is the Total Surface Area.
r is the radius of the base.
l is the slant height (the distance along the edge of the cone).
The video gives a clear, step-by-step approach to find the surface area of a cone.
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