The formula for the surface area of a cylinder is:
Surface Area = 2πr(r + h)
where r is the radius and h is the height of the cylinder.
To solve this problem, we need to find the radius of the cylinder. The surface length of the cylinder is the circumference of the base, so we can find the radius using the formula for the circumference of a circle:
Circumference = 2πr
Given that the surface length is 7 yards, we can set up the equation:
7 = 2πr
We can solve this equation for r by dividing both sides by 2π:
r = 7 / (2π)
Using the approximation 3.14 for π, we can calculate the radius:
r ≈ 7 / (2 * 3.14)
r ≈ 7 / 6.28
r ≈ 1.12
Now that we have the radius, we can calculate the surface area using the formula:
Surface Area = 2πr(r + h)
Substituting the known values, we have:
Surface Area = 2 * 3.14 * 1.12(1.12 + 8)
Surface Area = 2 * 3.14 * 1.12(9.12)
Surface Area ≈ 6.28 * 1.12 * 9.12
Surface Area ≈ 64.376
Therefore, the surface area of the cylinder is approximately 64.376 square yards.
The surface length is 7 yd.
And the height is 8 yd.
Find the surface area of the cylinder. Use the approximation 3.14 for pi.
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