Find the surface area of the cylinder. Use the approximation 3.14 for pi.%0D%0A%0D%0A(1 point) responses:
height-3yd. width-2yd. %0D%0AResponses%0D%0A%0D%0A329.7 square yards%0D%0A329.7 square yards%0D%0A%0D%0A577.76 square yards%0D%0A577.76 square yards%0D%0A%0D%0A252.77 yards%0D%0A252.77 yards%0D%0A%0D%0A252.77 square yards
To find the surface area of a cylinder, we need to calculate the lateral area and add it to the area of the two bases.
The lateral area of a cylinder is given by the formula: Lateral Area = 2πrh, where r is the radius of the base and h is the height.
In this case, the height is given as 3yd and the width is given as 2yd, which means the radius of the base is 1yd.
Using the approximation of π as 3.14, we can calculate the lateral area as follows:
Lateral Area = 2(3.14)(1)(3) = 18.84 square yards
The area of the two bases can be calculated using the formula: Base Area = πr^2 = 3.14(1^2) = 3.14 square yards
To find the surface area, we add the lateral area to twice the base area:
Surface Area = Lateral Area + 2(Base Area) = 18.84 + 2(3.14) = 18.84 + 6.28 = 25.12 square yards.
Therefore, the surface area of the cylinder is approximately 25.12 square yards.