The formula for the volume of a cone is indeed related to that of a cylinder. The volume of a cylinder is calculated using the formula:
\[ V_{\text{cylinder}} = \pi r^2 h \]
where \( r \) is the radius and \( h \) is the height of the cylinder.
For a cone, the formula for volume is:
\[ V_{\text{cone}} = \frac{1}{3} \pi r^2 h \]
The last step when calculating the volume of a cone involves multiplying the volume of the corresponding cylinder by \(\frac{1}{3}\). This is because the volume of a cone is one-third of the volume of a cylinder with the same base radius and height.
1 answer