Final answer:
To find the total surface area of the bird-bath, calculate the surface area of the cylinder and the hemisphere separately, and then add them together. The total surface area is 3.20 m².
Step-by-step explanation:
To find the total surface area of the bird-bath, we need to calculate the surface area of the cylinder and the hemisphere separately, and then add them together.
The surface area of the cylinder is given by the formula 2πrh, where r is the radius and h is the height.
Plugging in the values, we get 2 × 3.14 × 0.30 × 1.45 = 2.63 m².
The surface area of the hemisphere is given by the formula 2πr².
Plugging in the value of the radius, we get 2 × 3.14 × (0.30)² = 0.57 m².
Finally, adding the surface areas of the cylinder and the hemisphere, we get a total surface area of 2.63 m² + 0.57 m² = 3.20 m².