Giavonna has to paint 7 cylinder-shaped stools, including the top, bottom, and side of each stool. If the height of each stool is 3 meters and the radius is 50 centimeters, what is the total surface area Giavonna has to paint? Use 3.14 for π.

Answer 1

First, we need to calculate the surface area of each stool:

1. Top and bottom surface area:
Top and bottom surface area = π * radius^2
Top and bottom surface area = 3.14 * (0.5)^2
Top and bottom surface area = 3.14 * 0.25
Top and bottom surface area = 0.785 square meters

2. Side surface area:
Side surface area = 2 * π * radius * height
Side surface area = 2 * 3.14 * 0.5 * 3
Side surface area = 2 * 3.14 * 0.5 * 3
Side surface area = 9.42 square meters

Total surface area of each stool = 2 * (top and bottom surface area) + side surface area
Total surface area of each stool = 2 * 0.785 + 9.42
Total surface area of each stool = 1.57 + 9.42
Total surface area of each stool = 10.99 square meters

Now, we need to calculate the total surface area for all 7 stools:
Total surface area = 7 * Total surface area of each stool
Total surface area = 7 * 10.99
Total surface area = 76.93 square meters

Therefore, Giavonna has to paint a total surface area of 76.93 square meters.