This is the concept of volume of solid materials, we are required to find the diameter of cone with height 8 and volume 150 m^3. volume of cone is given by;V=1/3 (pi*r^2*h) making r^2 the subject we get; V/(pi*h)=r^2 inserting the values in our formula we get: 150/(pi*8)=r^2 r^2=5.97 thus; r=sqrt(5.97)=2.44 But ; diameter=2*radius thus diameter=2.44*2 =4.88 m