Question

surface area and volume of three-dimensional fi...

lesson 2

surface area of cylinders
2 yd.
3 yd.
find the surface area of the cylinder. use the approximation of 3.14 for pi.

Explanation:

Step1: Find radius from diameter

The diameter is 2 yd, so radius $r = \frac{2}{2} = 1$ yd.

Step2: Recall total surface area formula

Total surface area of a cylinder: $SA = 2\pi r^2 + 2\pi r h$, where $h=3$ yd, $\pi=3.14$.

Step3: Calculate area of two circles

$2\pi r^2 = 2 \times 3.14 \times 1^2 = 6.28$ yd²

Step4: Calculate lateral surface area

$2\pi r h = 2 \times 3.14 \times 1 \times 3 = 18.84$ yd²

Step5: Sum the two areas

$SA = 6.28 + 18.84$

Answer:

25.12 square yards