find the surface area of the cylinder. the diameter is 7 yds and the height is 8 yds

Answer 1

To find the surface area of a cylinder, you can use the formula:

$$\text{Surface Area}=2\pi r(h+r)$$

where $r$ is the radius, $h$ is the height, and $\pi$ is approximately 3.14.

1. Find the radius: Since the diameter is given as 7 yards, the radius $r$ is half of the diameter. $$r=\frac{7\text{ yd}}{2}=3.5\text{ yd}$$

2. Use the height: The height $h$ is given as 8 yards.

3. Substitute the values into the formula: $$\text{Surface Area}=2\pi (3.5\text{ yd})(8\text{ yd}+3.5\text{ yd})$$ $$=2\pi (3.5\text{ yd})(11.5\text{ yd})$$ $$=2\pi (40.25{\text{ yd}}^2)$$ $$=80.5\pi {\text{ yd}}^2$$

4. Calculate the approximate value (using $\pi \approx 3.14$): $$\text{Surface Area}\approx 80.5\times 3.14\approx 252.07{\text{ yd}}^2$$

Thus, the surface area of the cylinder is approximately $252.07{\text{ yd}}^2$.