First, we need to find the surface area of one bucket.
The formula for the surface area of a cylinder is:
Surface Area = 2πr^2 + 2πrh
where r is the radius and h is the height of the cylinder.
Given that the diameter of each bucket is 12 inches, the radius (r) would be half of the diameter, so r = 6 inches.
Plug in the values:
2(3.14)(6)^2 + 2(3.14)(6)h = 3,956.4
2(3.14)(36) + 37.68h = 3,956.4
226.08 + 37.68h = 3,956.4
37.68h = 3,730.32
h = 99 inches
Therefore, the height of one bucket is 99 inches.
B. 99 inches
Arya has 5 separate buckets with lids, each the same size and in the shape of a cylinder. If the total surface area of all 5 buckets is 3,956.4 square inches and the diameter of each bucket is 12 inches, what is the height of 1 bucket? Use 3.14 for PI.
A. 40.5 inches
B. 99 inches
C. 21 inches
D. 15 inches
1 answer