How would changing the dimensions affect the volume of a cone
Changing the dimensions of a cone, such as its height or base radius, would affect the volume of the cone.
The volume of a cone is given by the formula V = (1/3)πr^2h, where r is the radius of the base of the cone and h is the height of the cone.
If the radius of the base of the cone is increased, the volume of the cone would also increase as the volume is directly proportional to the square of the radius. Similarly, if the height of the cone is increased, the volume would also increase as the volume is directly proportional to the height.
Conversely, if the radius or height is decreased, the volume would decrease as well.
In general, any change in the dimensions of a cone would result in a change in the volume of the cone, with larger dimensions leading to a larger volume and smaller dimensions leading to a smaller volume.