Determine the total area of the TWO BASES of this cylinder. (Use 3.14 for π.)
(1 point)
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
6.28 square centimeters
To find the total area of the two bases of a cylinder, you would calculate the area of one base and then multiply it by 2 since there are two bases.
The formula for the area of a circle is A = πr^2.
Given that π = 3.14, and the radius of the cylinder's base is 1 unit (since it's a unit cylinder), the area of one base would be:
A = 3.14 * (1^2)
A = 3.14 * 1
A = 3.14 square centimeters
Since there are two bases, the total area of the two bases would be:
Total Area = 3.14 + 3.14
Total Area = 6.28 square centimeters
the radius is 2 cm
and the height is 15 cm
Given that the radius of the base of the cylinder is 2 cm and the height is 15 cm, we can calculate the total area of the two bases.
The formula for the area of a circle is A = πr^2.
The radius (r) of the cylinder's base is 2 cm, so the area of one base would be:
A = 3.14 * (2^2)
A = 3.14 * 4
A = 12.56 square centimeters
Since there are two bases on a cylinder, the total area of the two bases would be:
Total Area = 2 * 12.56
Total Area = 25.12 square centimeters
Therefore, the total area of the two bases of the cylinder is 25.12 square centimeters.
ugh but that is not one of the answer choices is there another way to work this problem
Yes, another way to calculate the total area of the two bases of a cylinder is to use the formula for the lateral surface area of a cylinder, which includes the area of both bases.
The formula for the lateral surface area of a cylinder is:
A = 2πrh
Where:
A = Total lateral surface area of the cylinder
π ≈ 3.14
r = radius of the base (2 cm)
h = height of the cylinder (15 cm)
A = 2 * 3.14 * 2 * 15
A = 6.28 * 30
A = 188.4 square centimeters
Since this formula includes the area of both bases of the cylinder, we would need to subtract the area the lateral surface area from the total area to find the total area of the two bases only.
Total area of the two bases = Total area of the cylinder - Lateral surface area of the cylinder
Total area of the two bases = 2πr^2 - A
Total area of the two bases = 2 * 3.14 * 2^2 - 188.4
Total area of the two bases = 2 * 3.14 * 4 - 188.4
Total area of the two bases = 25.12 square centimeters
Therefore, the total area of the two bases of the cylinder is 25.12 square centimeters.