Final answer:
The area of the fountain is 9π square feet, the circumference of the fountain is 6π feet, the volume of the fountain cannot be calculated with the given information, and the diameter of the fountain is 6 feet.
Step-by-step explanation:
The area of the fountain can be calculated using the formula A = πr², where r is the radius of the fountain. Substituting the given radius (3 feet) into the equation, we get A = π(3)^² = 9π square feet. So, option A is correct.
The circumference of the fountain can be calculated using the formula C = 2πr, where r is the radius of the fountain. Substituting the given radius (3 feet) into the equation, we get C = 2π(3) = 6π feet. So, option B is correct.
The volume of the fountain cannot be calculated with the given information. We need the height of the fountain to calculate its volume. So, option C is incorrect.
The diameter of the fountain can be calculated using the formula D = 2r, where r is the radius of the fountain. Substituting the given radius (3 feet) into the equation, we get D = 2(3) = 6 feet. So, option D is correct.