Find the surface area of the cylinder. Use the approximation 3.14 for pi.
(1 point)
Responses
252.77 yards
252.77 yards
252.77 square yards
252.77 square yards
329.7 square yards
329.7 square yards
577.76 square yards
To find the surface area of a cylinder, we need to calculate the area of the two circular bases and the lateral surface area.
The area of each circular base is given by the formula A = πr^2, where r is the radius of the base.
The lateral surface area can be found by multiplying the circumference of one of the bases by the height of the cylinder. The formula for the circumference of a circle is C = 2πr.
Let's assume that the radius of the cylinder is r and the height is h.
The area of each circular base is A = πr^2 = 3.14 * r^2
The lateral surface area is A = 2πrh = 2 * 3.14 * r * h
Adding the areas of the bases and the lateral surface area, we get the surface area of the cylinder as follows:
Surface Area = 2 * A(base) + A(lateral surface)
= 2 * (3.14 * r^2) + (2 * 3.14 * r * h)
However, since we are asked to use the approximation 3.14 for pi, we can substitute π with 3.14 in the formulas.
Surface Area = 2 * 3.14 * r^2 + 2 * 3.14 * r * h
Therefore, the correct option is:
577.76 square yards