What is the total surface area of the cylinder from Part A? (Radius is 2.5 meters and height is 7 meters).Use 3.14 for pi.

Answer 1

The total surface area \( A \) of a cylinder can be calculated using the formula:

\[ A = 2\pi r(h + r) \]

where \( r \) is the radius and \( h \) is the height.

Given:

• Radius \( r = 2.5 \) meters
• Height \( h = 7 \) meters
• Using \( \pi \approx 3.14 \)

Now, we can plug in the values:

\[ A = 2 \times 3.14 \times 2.5 \times (7 + 2.5) \]

First, calculate \( h + r \):

\[ h + r = 7 + 2.5 = 9.5 \]

Now substitute this back into the formula:

\[ A = 2 \times 3.14 \times 2.5 \times 9.5 \]

Perform the calculations step by step:

1. Calculate \( 2 \times 3.14 \):

\[ 2 \times 3.14 = 6.28 \]

2. Calculate \( 6.28 \times 2.5 \):

\[ 6.28 \times 2.5 = 15.7 \]

3. Finally, calculate \( 15.7 \times 9.5 \):

\[ 15.7 \times 9.5 = 149.15 \]

Thus, the total surface area of the cylinder is

\[ \boxed{149.15} \text{ square meters}. \]