Determine the total area of the TWO BASES of this cylinder. (Use 3.14 for π.) (1 point)
2cm, 15cm (cylinder)
Responses 3.14 square centimeters 3.14 square centimeters 6.28 square centimeters 6.28 square centimeters 94.20 square centimeters 94.20 square centimeters 100.48 square centimeters 100.48 square centimeters
The formula to calculate the total area of the two bases of a cylinder is 2πr^2 where r is the radius of the base.
Given that the two bases have radii of 2cm and 15cm respectively, the total area of the two bases can be calculated as:
Total area = 2(π(2^2) + π(15^2))
Total area = 2(π(4) + π(225))
Total area = 2(4π + 225π)
Total area = 2(229π)
Total area = 458π
Using 3.14 for π, we can substitute in to find the final answer:
Total area = 458(3.14)
Total area = 1438.92 square centimeters
Therefore, the total area of the two bases of the cylinder is 1438.92 square centimeters.