To find the total surface area of one cylinder-shaped stool, we need to calculate the area of the top, bottom, and side separately and then add them up.
1. Top and Bottom:
Area of one top/bottom = πr^2
Area of one top/bottom = 3.14 * (0.5)^2 = 3.14 * 0.25 = 0.785 m^2
Since there are two tops/bottoms on one stool:
Total area of tops/bottoms on one stool = 2 * 0.785 m^2 = 1.57 m^2
2. Side:
Area of one side = circumference * height
Circumference = 2πr = 2 * 3.14 * 0.5 = 3.14 m
Area of one side = 3.14 m * 3 m = 9.42 m^2
Since there are 1 side per stool:
Total area of sides on one stool = 9.42 m^2
Finally, the total surface area of one stool:
Total surface area = Total area of tops/bottoms + Total area of sides
Total surface area = 1.57 m^2 + 9.42 m^2 = 10.99 m^2
Since Giavonna has to paint 7 stools, the total surface area she has to paint is:
Total surface area = 10.99 m^2 * 7 = 76.93 m^2
Therefore, the total surface area Giavonna has to paint is 76.93 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)Responses76.93 m276.93 m squared65.94 m265.94 m squared16,642 m216,642 m squared10.99 m210.99 m squared
1 answer