A class is finding the radii of 3 cylinders. Cylinder A has a surface area of 4, 163.64 in.2 Cylinder B has a surface area of 4,521.60 in.^ 2 Cylinder C has a surface area of 3, 165.12 in.2 If the height of each cylinder is 22 inches, find the radius of each cylinder. Use 3.14 for pi
To find the radius of each cylinder, we first need to calculate the lateral surface area of a cylinder, which is given by the formula:
Lateral Surface Area = 2πrh
Where r is the radius of the cylinder and h is the height of the cylinder.
For Cylinder A:
4163.64 = 2 * 3.14 * r * 22
2081.82 = 3.14 * r * 22
2081.82 = 69.08r
r = 2081.82 / 69.08
r = 30
Therefore, the radius of Cylinder A is 30 inches.
For Cylinder B:
4521.60 = 2 * 3.14 * r * 22
2260.80 = 3.14 * r * 22
2260.80 = 69.08r
r = 2260.80 / 69.08
r = 32.75
Therefore, the radius of Cylinder B is 32.75 inches.
For Cylinder C:
3165.12 = 2 * 3.14 * r * 22
1582.56 = 3.14 * r * 22
1582.56 = 69.08r
r = 1582.56 / 69.08
r = 22.91
Therefore, the radius of Cylinder C is 22.91 inches.