the volume of the cone is 25 How many times larger is the volume of the cylinder than the volume of the cone IF the cone and the cylinder had the same dimensions?
If the cone and cylinder have the same dimensions, then they have the same height and base radius.
The volume of a cone is given by Vcone = (1/3)πr^2h, where r is the base radius and h is the height. Given that the volume of the cone is 25, we can write:
25 = (1/3)πr^2h
Solving for r^2h, we get:
r^2h = 75/π
Now, the volume of a cylinder is given by Vcylinder = πr^2h. Given that the cone and cylinder have the same dimensions, the volume of the cylinder is:
Vcylinder = (75/π) * π = 75
To find how many times larger the volume of the cylinder is than the volume of the cone, we divide the volume of the cylinder by the volume of the cone:
75 / 25 = 3
Therefore, the volume of the cylinder is 3 times larger than the volume of the cone if the cone and the cylinder had the same dimensions.