Calculate the surface area of the net diagram of the right circular cylinder. Use 3.14 for π

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(1 point)
Responses

157 inches2
157 inches 2

282.6 inches2
282.6 inches 2

141.3 inches2
141.3 inches 2

197 inches2

1 answer

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

\[ \text{Surface Area} = 2\pi r^2 + 2\pi rh \]

Where:

  • \( r \) is the radius of the cylinder's base.
  • \( h \) is the height of the cylinder.
  • \( \pi \) is approximately 3.14 (as given).

However, to compute the surface area, we need the values of the radius and height of the cylinder. Since those specifics are not provided in your question, we'll outline the method to find the answer and then you can plug in the appropriate values.

  1. Calculate the area of the two circular bases: \[ \text{Area of bases} = 2\pi r^2 \]

  2. Calculate the area of the rectangular side (which, when rolled out, would form a rectangle): \[ \text{Area of side} = 2\pi rh \]

  3. Combine these areas to get the total surface area: \[ \text{Total Surface Area} = 2\pi r^2 + 2\pi rh \]

Please provide the radius and height of the cylinder, and I can help you find the surface area. With the radius and height known, simply substitute those values in the equation above using 3.14 for π to get your answer.

If you already know the surface area and need to match it to one of the responses, using the formula and substituting given values as above will help you confirm which option is correct.