If a cone has height 4cm and base diameter x cm then what is its volume?

Answer 1

The volume ( V ) of a cone can be calculated using the formula ( V = \frac{1}{3} \pi r^2 h ), where ( r ) is the radius and ( h ) is the height. Given that the height ( h ) is 4 cm and the diameter is ( x ) cm, the radius ( r ) is ( \frac{x}{2} ) cm. Substituting these values into the formula, the volume becomes ( V = \frac{1}{3} \pi \left(\frac{x}{2}\right)^2 (4) = \frac{\pi x^2}{12} ) cm³.