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

1 answer

the value of pi.

First, we need to calculate the surface area of the top and bottom of each stool.
The formula for the area of a circle is A = πr^2.

Top and bottom area = 2π(50 cm)^2 = 2π(2500) = 5000π cm^2

Next, we need to calculate the lateral surface area of each stool.
The formula for the lateral surface area of a cylinder is A = 2πrh.

Lateral area = 2π(50 cm)(300 cm) = 30000π cm^2

Total surface area to paint for each stool = Top/bottom area + lateral area
= 5000π cm^2 + 30000π cm^2
= 35000π cm^2

Since Giavonna has to paint 7 stools, the total surface area she needs to paint is:
Total surface area = 7 * 35000π cm^2
= 245000π cm^2

Approximately, the total surface area Giavonna has to paint is around 769644.81 cm^2.