To calculate the surface area of a cylinder, you can use the formula:
\[ SA = 2\pi r^2 + 2\pi rh \]
Where:
- \( r \) = radius of the base of the cylinder
- \( h \) = height of the cylinder
- \( \pi \) is approximately 3.14
To determine the surface area, we'll need the radius \( r \) and the height \( h \) of the coffee can. Since you've provided multiple responses but not the dimensions, I will walk you through the calculation steps.
- Calculate the area of the circular bases: \( 2\pi r^2 \)
- Calculate the lateral surface area: \( 2\pi rh \)
Add these two areas together to get the total surface area.
If you provide the values for \( r \) and \( h \), I can calculate the exact surface area for you. Otherwise, I'll demonstrate with arbitrary values (just for illustration) of \( r = 3 \) inches and \( h = 5 \) inches:
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Calculate the area of the circular bases: \[ 2\pi r^2 = 2 \times 3.14 \times (3^2) = 2 \times 3.14 \times 9 = 56.52 , \text{in}^2 \]
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Calculate the lateral surface area: \[ 2\pi rh = 2 \times 3.14 \times 3 \times 5 = 2 \times 3.14 \times 15 = 94.2 , \text{in}^2 \]
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Add both areas: \[ SA = 56.52 + 94.2 = 150.72 , \text{in}^2 \]
Feel free to input actual values for radius and height, and I'll provide the specific calculations and surface area accordingly!