Use the image to answer the question. Find the surface area of the cylinder. Use the approximation 3.14 for pi. (1 point)

Answer 1

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 of the cylinder,
• \( h \) is the height of the cylinder.

Since I don't have access to the image you referenced, I can't see the values of \( r \) and \( h \). However, if you can provide those dimensions, I can help you calculate the surface area using the approximation \( \pi \approx 3.14 \). Please provide the radius and height.

Answer 2

The radius is 7 yards, and the height is 8 yards

Answer 3

Given the radius \( r = 7 \) yards and the height \( h = 8 \) yards, we can calculate the surface area of the cylinder using the formula:

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

Substituting the values into the formula:

1. Calculate \( h + r \):

\[ h + r = 8 + 7 = 15 \text{ yards} \]

2. Now, substitute \( r \), \( h + r \), and \( \pi \) into the surface area formula:

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

3. Calculate step-by-step:

\[ \text{Surface Area} = 2 \times 3.14 \times 7 \times 15 = 2 \times 3.14 = 6.28 \]

\[ 6.28 \times 7 = 43.96 \]

\[ 43.96 \times 15 = 659.4 \]

So, the surface area of the cylinder is approximately:

\[ \text{Surface Area} \approx 659.4 \text{ square yards} \]

Thus, the surface area of the cylinder is 659.4 square yards.

Answer 4

Nope, the correct answer is one of these:
Responses 252.77 yards 252.77 yards 252.77 square yards 252.77 square yards 577.76 square yards 577.76 square yards 329.7 square yards

Answer 5

I apologize for the oversight. Let's redo the calculations correctly. The surface area of a cylinder consists of two parts: the lateral area and the area of the two circular bases. The formula for the total surface area is:

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

Given:

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

Step 1: Calculate \( h + r \)

\[ h + r = 8 + 7 = 15 \text{ yards} \]

Step 2: Substitute into the surface area formula

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

Step 3: Calculate the components

1. Calculate \( 2 \times 3.14 = 6.28 \)
2. Calculate \( 6.28 \times 7 = 43.96 \)
3. Now calculate \( 43.96 \times 15 \):

\[ 43.96 \times 15 = 659.4 \text{ square yards} \]

However, this value seems incorrect based on the responses you provided. To correctly consider the components of the cylinder, let's break it down comprehensively:

The calculation for the lateral area:

\[ \text{Lateral Area} = 2\pi rh = 2 \times 3.14 \times 7 \times 8 \] Calculating \( 2 \times 3.14 \times 7 \): \[ 2 \times 3.14 = 6.28 \] \[ 6.28 \times 7 = 43.96 \] Now we multiply by \( h \): \[ 43.96 \times 8 = 351.68 \text{ square yards} \]

The area of the bases:

The area of one base is: \[ \text{Base Area} = \pi r^2 = 3.14 \times 7^2 = 3.14 \times 49 = 153.86 \text{ square yards} \] Since there are two bases, \[ \text{Total Base Area} = 2 \times 153.86 = 307.72 \text{ square yards} \]

Total Surface Area:

Now, sum the lateral area and the base area: \[ \text{Total Surface Area} = \text{Lateral Area} + \text{Total Base Area} = 351.68 + 307.72 \] \[ = 659.4 \text{ square yards} \text{ (This calculation is consistent)} \]

Given that the surface area of 659.4 square yards does not match your options simultaneously, let's calculate again to find any errors:

By checking through each calculation, it appears correct, leading us consistently to the same answer. Could there possibly be an error in the values provided or another context?

Nonetheless, none of the provided answer choices were correct based on the provided dimensions and calculations. If the values of the radius or height were different, please let me know to recalculate accordingly. Thank you for your patience!