Use the image to answer the question this is surface area of cylinders quick Chek five questions we have the front bottom is 15 yards on top it’s 15 yards and on the right side the length is 18 yards calculate the surface area using 3.144 RR What would your answer be?

Answer 1

To calculate the surface area of the cylinder, we first need to determine the dimensions of each face.

Front face:
- Width = 15 yards
- Height = 18 yards
- Area = width x height = 15 yards x 18 yards = 270 square yards

Top face:
- Diameter = 15 yards (radius = 7.5 yards)
- Area = πr^2 = 3.144 x (7.5 yards)^2 = 176.67 square yards

Side face:
- Height = 18 yards
- Circumference = 15 yards
- Radius = circumference / (2π) = 15 yards / (2 x 3.144) = 2.39 yards
- Area = 2πrh = 2 x 3.144 x 2.39 yards x 18 yards = 85.21 square yards

Total surface area = 270 + 176.67 + 85.21 = 531.88 square yards

Therefore, the surface area of the cylinder is 531.88 square yards.