To find the surface area of a right circular cylinder, you need to calculate both the lateral surface area and the area of the two circular bases.
The formulas are as follows:
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Lateral Surface Area (A_l): \[ A_l = 2 \pi r h \] where \( r \) is the radius of the base and \( h \) is the height of the cylinder.
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Area of the two bases (A_b): \[ A_b = 2(\pi r^2) \]
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Total Surface Area (A): \[ A = A_l + A_b = 2 \pi r h + 2(\pi r^2) = 2 \pi r (h + r) \]
Now, let's compute the surface area using the value \( \pi \approx 3.14 \).
Assuming you have values for \( r \) (radius) and \( h \) (height), substitute those values into the formulas above.
Example Calculation
Let's say:
- \( r = 3 \) units
- \( h = 5 \) units
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Calculate the Lateral Surface Area: \[ A_l = 2 \times 3.14 \times 3 \times 5 = 94.2 \text{ square units} \]
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Calculate the Area of the two bases: \[ A_b = 2 \times (3.14 \times 3^2) = 2 \times (3.14 \times 9) = 56.52 \text{ square units} \]
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Calculate the Total Surface Area: \[ A = 94.2 + 56.52 = 150.72 \text{ square units} \]
Thus, if you have specific values for \( r \) and \( h \), plug them into the formulas to find the surface area. If you provide those values, I can calculate it for you!