To find the total surface area (TSA) of a cylinder, you can use the formula:
\[ \text{TSA} = 2\pi r(h + r) \]
where:
- \( r \) is the radius of the cylinder,
- \( h \) is the height of the cylinder,
- \( \pi \) is approximately \( 3.14 \) or \( \frac{22}{7} \).
Given:
- Radius \( r = 14 \) cm
- Height \( h = 18 \) cm
Now plug the values into the formula:
\[ \text{TSA} = 2\pi (14)(18 + 14) \]
Calculating \( (18 + 14) \):
\[ 18 + 14 = 32 \]
Now substitute that back into the TSA formula:
\[ \text{TSA} = 2\pi (14)(32) \]
Calculating \( 2 \times 14 \times 32 \):
\[ 2 \times 14 = 28 \] \[ 28 \times 32 = 896 \]
Now, calculate \( \text{TSA} \):
\[ \text{TSA} = 896\pi \]
Using \( \pi \approx 3.14 \):
\[ \text{TSA} \approx 896 \times 3.14 \approx 2817.44 \text{ cm}^2 \]
Thus, the total surface area of the cylinder is approximately \( 2817.44 \text{ cm}^2 \). If using a more precise value of \( \pi \), you can calculate it to be:
\[ \text{TSA} \approx 2816 \text{ cm}^2 \text{ (using } \pi \text{ values higher precision)} \]
Final Answer: The total surface area of the cylinder is approximately \( 2817.44 , \text{cm}^2 \).