Question Use the image to answer the question.A cylinder is labeled with a height of 8 yards and a radius of 7 yards. Find the surface area of the cylinder. Use the approximation 3.14 for pi.(1 point)Responses 577.76 square yards 577.76 square yards 252.77 square yards 252.77 square yards 329.7 square yards 329.7 square yards 252.77 yards

1 answer

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

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

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

Given:

  • Radius \( r = 7 \) yards
  • Height \( h = 8 \) yards
  • Use \( \pi \approx 3.14 \)

Now substituting the values into the formula:

\[ \text{Surface Area} = 2 \times 3.14 \times 7 \times (8 + 7) \]

Calculating \( (8 + 7) \):

\[ 8 + 7 = 15 \]

Now substituting that back into the formula:

\[ \text{Surface Area} = 2 \times 3.14 \times 7 \times 15 \]

Calculating \( 2 \times 3.14 \):

\[ 2 \times 3.14 = 6.28 \]

Now calculating \( 6.28 \times 7 \):

\[ 6.28 \times 7 = 43.96 \]

Now multiplying by 15:

\[ 43.96 \times 15 = 659.4 \]

Therefore, the surface area of the cylinder is approximately \( 659.4 \) square yards.

None of the given options match \( 659.4 \) square yards, so please double-check the provided options or dimensions.