Find the surface area of the cylinderUse the approximation 3.14 for pi 7 yd 8yd
To calculate the surface area of a cylinder, we need to find the area of the two bases (circular ends) and the lateral surface area (the curved surface that wraps around the cylinder).
The formula to find the surface area of a cylinder is:
Surface area = 2πr² + 2πrh
Given:
Radius (r) = 7 yd
Height (h) = 8 yd
First, let's find the area of the bases:
Area of a circular base = πr²
Area of the two bases = 2πr²
Substituting the values:
Area of the two bases = 2 * 3.14 * (7 yd)² = 2 * 3.14 * 49 yd² = 307.86 yd² (rounded to two decimal places)
Now, let's find the lateral surface area:
Lateral surface area = 2πrh
Substituting the values:
Lateral surface area = 2 * 3.14 * 7 yd * 8 yd = 351.36 yd² (rounded to two decimal places)
Finally, the surface area of the cylinder is the sum of the areas of the bases and the lateral surface area:
Surface area = Area of the two bases + Lateral surface area
Surface area = 307.86 yd² + 351.36 yd² = 659.22 yd² (rounded to two decimal places)
Therefore, the surface area of the cylinder is approximately 659.22 square yards.