To calculate the total surface area that Giavonna has to paint, we need to find the surface area of the top and bottom of the cylinder, as well as the lateral surface area.
1. Surface area of the top and bottom of the cylinder:
Area = πr^2
Area = 3.14 * (0.5)^2
Area = 3.14 * 0.25
Area = 0.785 m^2
Since there are 2 ends to each stool, the total surface area for the top and bottom is:
2 * 0.785 = 1.57 m^2
2. Lateral surface area of the cylinder:
Area = 2πrh
Area = 2 * 3.14 * 0.5 * 3
Area = 3.14 * 1.5
Area = 4.71 m^2
Total surface area for each stool:
1.57 m^2 (top and bottom) + 4.71 m^2 (lateral) = 6.28 m^2
Total surface area for 7 stools:
6.28 m^2/stool * 7 stools = 43.96 m^2
Therefore, the total surface area Giavonna has to paint is 43.96 m^2.
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 .(1 point)
Responses
65.94 m2
65.94 m squared
10.99 m2
10.99 m squared
16,642 m2
16,642 m squared
76.93 m2
1 answer