Question

Radius: 2 yd

Height: 3 yd find the surface area of the cylinder. Use the approximation of 3.14 for pi.

25.12

75.36

32.97

62.8

Answer 1

To find the surface area of a cylinder, we can use the formula:

\[
SA = 2\pi r(h + r)
\]

where \(r\) is the radius, and \(h\) is the height.

Given:
- Radius \(r = 2\) yd
- Height \(h = 3\) yd
- Approximation for \(\pi \approx 3.14\)

Now, substitute the values into the formula.

1. Calculate \(h + r\):
\[
h + r = 3 + 2 = 5
\]

2. Calculate the surface area:
\[
SA = 2 \cdot 3.14 \cdot 2 \cdot 5
\]
\[
SA = 2 \cdot 3.14 \cdot 10
\]
\[
SA = 62.8 \text{ yd}^2
\]

So, the surface area of the cylinder is **62.8 yd²**.

The correct choice from the given options is **62.8**.