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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)

2 answers

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.

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