Final answer:
To find the base of the cylindrical pot, you need to calculate the area of the base using the formula for the volume of a cylinder. The radius of the base is approximately 21.851 meters and the area of the base is approximately 1489.189 square meters.
Step-by-step explanation:
To find the base of the cylindrical pot, we need to calculate the area of the base. The volume of the pot is given as 1500 liters, which is equal to 1500 cubic decimeters (since 1 liter = 1 cubic decimeter). We can use the formula for the volume of a cylinder, V = πr^2h, where V is the volume, π is a mathematical constant approximately equal to 3.14159, r is the radius of the base, and h is the height. Since we know the capacity of the pot is 1500 cubic decimeters and the height is 1 meter, we can rearrange the formula to solve for r: r = sqrt(V/(πh)). Plugging in the values, r = sqrt(1500/(π*1)) = sqrt(1500/3.14159) = sqrt(477.434213) ≈ 21.851 meters. The area of the base of the pot can be calculated using the formula for the area of a circle, A = πr^2. Plugging in the radius, A = π(21.851^2) ≈ 1489.189 square meters.