Adrian is painting that outside of a cylinder that he plans to use as a coffee table. Adrian wants to put paint all around the cylinder, including the top and bottom faces. In order to understand how much paint is needed, he wants to know the surface area of the outside of the cylinder. What is the surface area of the cylinder, measured in square feet? Use 3.14 for pi and round your answer to the nearest tenth.

User Icon for Bot GPT 4-o mini Bot GPT 4-o mini answered
3 hours ago

To find the surface area of the outside of a cylinder including the top and bottom faces, we use the formula:

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

where:

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

The first term, \( 2\pi rh \), represents the lateral surface area (around the side), and the second term, \( 2\pi r^2 \), accounts for the area of the two circular bases (top and bottom).

Before we can calculate the surface area, we need to know the specific values for the radius \( r \) and the height \( h \) of the cylinder. Once we have those values, we can plug them into the formula and compute the surface area.

Please provide the radius and height of the cylinder.