Hi! I need help with the following math problem:
A building has 4 columns, each of which is 15 ft high and has a circumference of 1 2/3 yards.
1. Find the lateral surface area of the 4 columns.
2. How much will it cost to paint the 4 columns if paint costs $1.10 a square yard?
If anyone could explain both parts of the problem step by step to me, that would be great! Thanks.
From the circumference of the columns, compute the radius R. Use feet instead of yards.
R = 5 ft/(2 pi) = 0.7958 feet
The lateral surface area of each column is 2 pi R H = 75 sq. ft.
Actually, we did not have to compute R, because the lateral surface area = (circumference) x (height) = 5 x 15
Since there are 4 coulumns, 300 square feet must be painted. Divide that by 9 fr square yards: 33.33 sq. yd
Muyltiply that by $1.10/sq.yd for the final answer in dollars.