17 m^3
The formula fir the volume of a cylinder is pi(r^2)(h) where r is the radius and h is the height.
The formula for the volume of a cone is pi(r^2)(h/3)
If the diameters are the same, then the radius’s are the same because radius is half the diameter. The heights are also the same.
In the volume formula for a cylinder, you multiply everything together.
In the volume for a cone, you multiply everything together, then divide that number by 3. The number before being divided by three is the same number as the volume of a cylinder. This means that to find the volume of the cone with the same height and diameter of the cylinder, you just need to divide the cylinders volume by 3.
51/3 = 17, so the volume of the cone is 17
