Question

Question Find the surface area of a cylinder with a height of 4 yards and a radius of 2 yards. Use 3.14 for π and round to the nearest tenth.(1 point)

Answer 1

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Answer 2

The 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 of the cylinder.

Given:
- Height \( h = 4 \) yards
- Radius \( r = 2 \) yards
- Using \( \pi \approx 3.14 \)

Plugging in the values:

\[
A = 2 \times 3.14 \times 2 \times (4 + 2)
\]

First, calculate \( (4 + 2) \):

\[
(4 + 2) = 6
\]

Now substitute this back into the equation:

\[
A = 2 \times 3.14 \times 2 \times 6
\]

Calculating step-by-step:

1. Calculate \( 2 \times 2 = 4 \)
2. Calculate \( 4 \times 6 = 24 \)
3. Now, calculate \( 2 \times 3.14 = 6.28 \)
4. Finally, multiply \( 6.28 \times 24 \).

Calculating \( 6.28 \times 24 \):

\[
6.28 \times 24 = 150.72
\]

Rounding to the nearest tenth:

\[
A \approx 150.7
\]

Thus, the surface area of the cylinder is approximately \( \boxed{150.7} \) square yards.