Question

A cylinder has a diameter of 20 cm and height of 20 cm. Find the surface area. Use 3.14 for π .

SA = 2πr2+2πrh


(1 point)
Responses

1884 cm21884 cm squared

628 cm2628 cm squared

5024 cm25024 cm squared

788,768 cm2788,768 cm squared
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Answer 1

To find the surface area (SA) of a cylinder, you can use the formula you provided:

\[
\text{SA} = 2\pi r^2 + 2\pi rh
\]

Where:
- \( r \) is the radius of the cylinder,
- \( h \) is the height of the cylinder, and
- \( \pi \) is approximately 3.14.

Given:
- Diameter = 20 cm, so the radius \( r = \frac{20}{2} = 10 \) cm
- Height \( h = 20 \) cm

Now, let's plug the values into the formula:

1. Calculate the area of the two circular bases:
\[
2\pi r^2 = 2 \times 3.14 \times (10)^2 = 2 \times 3.14 \times 100 = 628 \text{ cm}^2
\]

2. Calculate the lateral surface area:
\[
2\pi rh = 2 \times 3.14 \times 10 \times 20 = 2 \times 3.14 \times 200 = 1256 \text{ cm}^2
\]

3. Add both areas to find the total surface area:
\[
\text{SA} = 628 + 1256 = 1884 \text{ cm}^2
\]

Thus, the total surface area of the cylinder is **1884 cm²**.

The correct answer is: **1884 cm²**.