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

Answer 1

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.