Question A cylinder has a height of 15 feet and a radius of 4 feet. Solve for the total surface area of the cylinder. Use 3.14 for π and round to the nearest tenth.(1 point) Responses 477.3 feet2 477.3 feet squared 301.44 feet2 100.48 feet squared 56.52 feet2 188.4 feet squared 60 feet2

Answer 1

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

\[ \text{Total Surface Area} = 2\pi r(h + r) \]

Where:

• \( r \) is the radius of the cylinder
• \( h \) is the height of the cylinder

Given:

• \( r = 4 \) feet
• \( h = 15 \) feet
• \( \pi \approx 3.14 \)

Now, substitute the values into the formula:

\[ \text{Total Surface Area} = 2 \times 3.14 \times 4 \times (15 + 4) \]

First, calculate \( (15 + 4) \):

\[ 15 + 4 = 19 \]

Now substitute back into the formula:

\[ \text{Total Surface Area} = 2 \times 3.14 \times 4 \times 19 \]

Now calculate \( 2 \times 3.14 \times 4 \):

\[ 2 \times 3.14 = 6.28 \] \[ 6.28 \times 4 = 25.12 \]

Now multiply by 19:

\[ 25.12 \times 19 = 477.28 \]

Finally, round to the nearest tenth:

\[ 477.28 \approx 477.3 \]

Therefore, the total surface area of the cylinder is \( 477.3 \) feet².

So the correct answer is 477.3 feet².