You can calculate the volume of a cone easily once the height and radius of the cone is entered into the formula for the volume of the cone. The formula for finding the volume of a cone is v = hπr2/3. Here's how to find the volume of a cone.
Step
Method 1 of 1: Calculating the Volume of a Cone
Step 1. Find the radius of the cone
If you already know the radius of the cone, move on to the next step. If you know the diameter, divide by 2 to get the radius. If you know the circumference, divide by 2π to get the diameter. And if you don't know anything about the cone, just use a ruler to measure the circle's widest base (diameter) and divide the sum by 2 to get the radius. Let's say the radius of the circle's base of this cone is 0.5 inches.
Step 2. Use your fingers to find the area of the base circle
To find the area of the base circle, use the formula to find the area of the circle: A = r2. Enter "0.5" inch for r to get A = (0.5)2 and square the radius and then multiply by the value of to find the area of the base circle. (0.5)2 = 0.79 inches2.
Step 3. Find the height of the cone
Write down kika you already know. If not, use a ruler to measure it. Let's say the height of the cone is 1.5 inches. Make sure that the height of the cone is written in the same units as the radius.
Step 4. Multiply the area of the base by the height of the cone
Multiply the base area, 0.79 inches2 with a height of 1.5 inches. So, 79ubcu2 x 1.5 = 1.19 inches3
Step 5. Divide the result by three
Enough for 1.19 inches3 with 3 to find the volume of the cone. 1.19 inches3/3 = 0.40 inches3. Always express volume in cubic units because volume is a measure of three-dimensional space.
Tips
- Don't do this while there's still ice cream in the cone.
- Make sure you have accurate measurements.
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How it works:
In this method you are basically calculating the volume of a cone as if it were a cylinder. When you calculate the area of the base circle and multiply by the height, you are "stacking" the area until it reaches the height creating a cylinder. And since a cylinder can fit three cones of the same size, you multiply that by a third, so that's the volume of the cone
- Make sure your measurements are in the same type of unit of measurement.
- The radius, height, and slant height --- the slanted height is measured to the hypotenuse of the cone, while the true height is measured through the middle from the tip to the center of the circular base --- thus forming a right triangle. This can therefore be related to the Pythagorean Theorem: (radius)2+(height)2 = (sloping height)2
