Find the area of the cylinder using the approximation 3.14 for pi, the surface area is 7yd the height is 8yd
To find the area of the cylinder, we first need to find the radius of the base.
Since the surface area of the cylinder is given as 7yd, we can calculate the lateral surface area (excluding the base and top):
Lateral Surface Area = 2πrh
where r is the radius of the base and h is the height.
We need to solve for r, so we rearrange the formula:
2πrh = 7
2 * 3.14 * r * 8 = 7
6.28 * r * 8 = 7
50.24 * r = 7
r = 7 / 50.24
r ≈ 0.139 yd
Now that we have the radius, we can find the area of the base:
Area of the Base = πr^2
Area of the Base ≈ 3.14 * (0.139)^2
Area of the Base ≈ 0.0607 yd^2
Next, we find the area of the lateral surface:
Lateral Surface Area = 2πrh
Lateral Surface Area ≈ 2 * 3.14 * 0.139 * 8
Lateral Surface Area ≈ 7.006 yd^2
Finally, we sum up the areas of the base and the lateral surface to get the total surface area of the cylinder:
Total Surface Area = Area of Base + Lateral Surface Area
Total Surface Area ≈ 0.0607 + 7.006
Total Surface Area ≈ 7.0667 yd^2
Therefore, the approximate area of the cylinder is 7.0667 square yards.