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 \( \pi \) can be approximated as 3.14.
Given:
- Height \( h = 8 \)
- Diameter = 7, so the radius \( r = \frac{7}{2} = 3.5 \)
Now, substitute the values into the formula:
-
Calculate \( r \) and \( h \):
- \( r = 3.5 \)
- \( h = 8 \)
-
Substitute into the surface area formula:
\[ \text{Surface Area} = 2 \times 3.14 \times 3.5 \times (8 + 3.5) \]
- Calculate \( (8 + 3.5) \):
\[ 8 + 3.5 = 11.5 \]
- Now plug this back into the equation:
\[ \text{Surface Area} = 2 \times 3.14 \times 3.5 \times 11.5 \]
- Calculate step by step:
- First, calculate \( 2 \times 3.14 = 6.28 \)
- Then, \( 6.28 \times 3.5 = 21.98 \)
- Finally, \( 21.98 \times 11.5 \)
\[ 21.98 \times 11.5 = 253.77 \]
Thus, the surface area of the cylinder is approximately:
\[ \text{Surface Area} \approx 253.77 \]
So, the surface area of the cylinder is approximately 253.77 square units.