Answer:
9.4 units
Explanation:
Volume = (1/3) × π × r^2 × h
Given that the volume is 1007 units and the height is 12 units, we can rearrange the formula to solve for the radius (r):
1007 = (1/3) × π × r^2 × 12
Dividing both sides of the equation by (1/3) × π × 12:
r^2 = (1007 / ((1/3) × π × 12))
r^2 ≈ 22.2286
Taking the square root of both sides to find the radius:
r ≈ √22.2286
r ≈ 4.7182
The diameter of the cone is twice the radius, so:
Diameter ≈ 2 × 4.7182
Diameter ≈ 9.4364
Therefore, the diameter of the cone is approximately 9.4 units.