To calculate the surface area of the coffee can (which is a cylinder), we will use the formula for the surface area of a cylinder:
\[ SA = 2\pi r^2 + 2\pi rh \]
where:
- \( r \) is the radius of the base, and
- \( h \) is the height of the cylinder.
Given:
- The diameter of the top and bottom of the coffee can is 6 inches. Therefore, the radius \( r \) is half of the diameter: \[ r = \frac{6}{2} = 3 \text{ inches} \]
- The height \( h \) of the can is 6 1/4 inches: \[ h = 6.25 \text{ inches} \]
Now plug in the values into the surface area formula:
-
Calculate \( 2\pi r^2 \): \[ 2\pi r^2 = 2 \times 3.14 \times (3)^2 = 2 \times 3.14 \times 9 = 56.52 \text{ in}^2 \]
-
Calculate \( 2\pi rh \): \[ 2\pi rh = 2 \times 3.14 \times 3 \times 6.25 = 2 \times 3.14 \times 18.75 = 117.75 \text{ in}^2 \]
-
Now add both parts to find the total surface area: \[ SA = 56.52 + 117.75 = 174.27 \text{ in}^2 \]
Thus, Anjali will need a total surface area of:
\[ \boxed{174.27 \text{ in}^2} \]
So the correct response is 174.27 inยฒ.