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 buckets is 12 inches what is the height of 1 buckets use 3.14 for
To find the height of one bucket, we first need to calculate the surface area of one bucket.
The surface area of a cylinder can be calculated using the formula:
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 of each bucket is half of the diameter = 12/2 = 6 inches.
Plugging in the values into the formula, we get:
3966 = 2(3.14)(6)^2 + 2(3.14)(6)h
3966 = 2(3.14)(36) + 12.56h
3966 = 226.08 + 12.56h
3740.92 = 12.56h
h = 3740.92 / 12.56
h ≈ 297.47 inches
Therefore, the height of one bucket is approximately 297.47 inches.