To find the volume of an oblique cone, you can use the same formula as for a right cone. The volume (V) of a cone is calculated using the formula:
V = (1/3) × π × r² × h
Where:
- r is the radius of the base of the cone,
- h is the height of the cone (the perpendicular distance from the base to the apex),
- π is a mathematical constant approximately equal to 3.14159.
Even though the cone is oblique (meaning the apex is not directly above the center of the base), the formula still holds. The key is to determine the correct height (h). To do this:
-
Identify the radius of the base of the cone, which is half the diameter.
-
Measure the vertical height from the base to the apex. This should be a straight line, not the slant height.
Plug the values for the radius and height into the formula to calculate the volume. This approach ensures you get an accurate volume measurement regardless of whether the cone is upright or tilted.