The cylinder has a height of 8 yd and a radius of 7 yd
Find the surface area of the cylinder. Use the approximation 3.14 for pi.
(1 point)
To find the surface area of a cylinder, we need to calculate the sum of the areas of its two bases (circles) and the lateral surface area.
First, let's find the area of each base (circle). The formula for the area of a circle is A = πr^2, where A is the area and r is the radius.
Given that the radius (r) is 7 yd, we can substitute the values into the formula:
A = 3.14 * 7^2
A = 3.14 * 49
A ≈ 153.86 square yards (rounded to two decimal places)
Since there are two bases, the total base area is 2 * 153.86 = 307.72 square yards.
Next, let's find the lateral surface area. The lateral surface area of a cylinder is given by the formula A = 2πrh, where A is the area, π is the approximation of pi (3.14), r is the radius, and h is the height.
Given that the radius (r) is 7 yd and the height (h) is 8 yd, we can substitute the values into the formula:
A = 3.14 * 2 * 7 * 8
A = 3.14 * 14 * 8
A ≈ 351.68 square yards (rounded to two decimal places)
Finally, to find the total surface area, we need to sum-up the base areas and the lateral surface area:
Total surface area = Base area + Lateral surface area
Total surface area = 307.72 + 351.68
Total surface area = 659.40 square yards
Therefore, the surface area of the given cylinder is approximately 659.40 square yards.