To find the surface area of a cylinder, you can use the formula:
\[ \text{Surface Area} = 2\pi r^2 + 2\pi rh \]
where:
- \( r \) is the radius of the cylinder,
- \( h \) is the height of the cylinder.
From your input, it seems the dimensions of the cylinder are:
- Diameter = 2 yd (which means the radius \( r = \frac{2}{2} = 1 \) yd)
- Height \( h = 3 \) yd
Now, we can substitute the values into the surface area formula:
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Calculate the area of the two circular bases: \[ 2\pi r^2 = 2 \cdot 3.14 \cdot (1)^2 = 2 \cdot 3.14 \cdot 1 = 6.28 \text{ yd}^2 \]
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Calculate the lateral surface area: \[ 2\pi rh = 2 \cdot 3.14 \cdot (1) \cdot (3) = 2 \cdot 3.14 \cdot 3 = 18.84 \text{ yd}^2 \]
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Combine both areas to get the total surface area: \[ \text{Total Surface Area} = 6.28 + 18.84 = 25.12 \text{ yd}^2 \]
Thus, the surface area of the cylinder is approximately 25.12 square yards.
2 answers