Question

What is the surface area of this cylinder?
Use ​𝜋 ≈ 3.14 and round your answer to the nearest hundredth. r=20ft h=6ft

Answer 1

To find the surface area \( A \) of a cylinder, you can use the formula:

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

where:
- \( r \) is the radius of the base,
- \( h \) is the height of the cylinder.

Given:
- \( r = 20 \) ft,
- \( h = 6 \) ft,
- \( \pi \approx 3.14 \).

Now, let's substitute the values into the formula:

1. Calculate \( 2\pi r \):
\[
2\pi r = 2 \times 3.14 \times 20 = 125.6 \text{ ft}
\]

2. Now calculate \( r + h \):
\[
r + h = 20 + 6 = 26 \text{ ft}
\]

3. Now, calculate the surface area:
\[
A = 125.6 \times 26 = 3265.6 \text{ ft}^2
\]

Therefore, the total surface area of the cylinder is approximately \( 3265.6 \) square feet.

So, rounding to the nearest hundredth, the surface area of the cylinder is:

\[
\boxed{3265.60 \text{ ft}^2}
\]