Final answer:
Jamal can collect approximately 35.34 cubic feet of rainwater in a cylindrical barrel with a diameter of 3 feet and a height of 5 feet, using the formula V = πr²h.
Step-by-step explanation:
Jamal wants to collect rainwater in a cylindrical barrel with a diameter of 3 feet and a height of 5 feet. To calculate the volume of water the barrel can hold, we use the formula for the volume of a cylinder, V = πr²h, where 'r' is the radius and 'h' is the height. Since the diameter is given, we divide it by 2 to find the radius (1.5 feet). Plugging the values into the formula gives us:
V = π * (1.5 feet)² * 5 feet = 3.14159 * 2.25 feet² * 5 feet ≈ 35.34 cubic feet
Therefore, the barrel can hold approximately 35.34 cubic feet of rainwater.