surface area of a rightcircular cylinder. The area of a right circular cylinder is given by the polynomial 2pierh^2 where h is the height and r is the radius of the base. Suppose that a beverage can has a height of 6.2 inches and a radius of 1.3 inches. Evaluate the polynomial when h=6.2 and r=1.3 to find the area of the can. Use 3.14 for pie. What is the surface area ? inches^2
I think the area of the sides (without top and bottom) is
A = 2 pi r h
(not h^2)
A = 2 (3.14) (1.3)(6.2) = 50.6 in^2
To find the surface area of a right circular cylinder, we will substitute the given values of the height (h) and radius (r) into the polynomial: 2πr * h^2, where π is approximately 3.14.
Given:
h = 6.2 inches
r = 1.3 inches
π ≈ 3.14
Substituting the values into the polynomial:
Surface Area = 2 * 3.14 * 1.3 * (6.2)^2
First, let's calculate (6.2)^2:
(6.2)^2 = 6.2 * 6.2 = 38.44
Now, substitute this value into the equation:
Surface Area = 2 * 3.14 * 1.3 * 38.44
Next, calculate 2 * 3.14 * 1.3 * 38.44:
Surface Area ≈ 315.6376
Therefore, the surface area of the can is approximately 315.6376 square inches.