To find the total surface area of one stool, we need to calculate the area of the top, the area of the bottom, and the area of the side.
1. Area of the top and bottom:
A = πr^2
A = 3.14 * (0.5)^2
A = 3.14 * 0.25
A = 0.785 m^2
2. Area of the side:
The side of the cylinder is essentially a rectangle that wraps around the cylinder. The height of the rectangle is the height of the cylinder (3 meters) and the width is the circumference of the circle (2πr). So, area of the side:
A = 2πrh
A = 2 * 3.14 * 0.5 * 3
A = 9.42 m^2
Total surface area of one stool:
0.785 + 0.785 + 9.42 = 10.99 m^2
Since Giavonna has to paint 7 stools, the total surface area she has to paint is:
10.99 * 7 = 76.93 m^2
Therefore, the answer is:
76.93 m squared
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 16,642 m2 16,642 m squared 65.94 m2 65.94 m squared 10.99 m2 10.99 m squared 76.93 m2 76.93 m squared
1 answer
1 answer