Final answer:
To find the volume of a cone with a height of 9 units and a base area of 5π square units, you use the formula V = (1/3) × B × H. The volume of the cone is 15π cubic units.
Step-by-step explanation:
The student has asked how to find the volume of a cone with a given height (H) and base area (B). The formula to calculate the volume of a cone is one-third of the base area times the height:
V = (1/3) × B × H
Given that the height (H) is 9 units and the base area (B) is 5π square units, we substitute these values into the formula:
V = (1/3) × 5π × 9
V = (1/3) × 45π
V = 15π cubic units
Therefore, the volume of the cone is 15π cubic units.