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 π .(1 point)Responses21 inches21 inches40.5 inches40.5 inches99 inches99 inches15 inches
The surface area of a cylinder can be calculated using the formula: 2πr(r+h), 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 would be half of that, which is 6 inches.
Plugging in the values:
2(3.14)(6)(6+h) = 3,956.4
75.36 + 37.68h = 3,956.4
37.68h = 3,881.04
h = 103 inches
Therefore, the height of 1 bucket is 103 inches.