Question

1. use the net to find the surface area of the cylinder. give your answer in terms of π. 14 yd 6 yd

Explanation:

Step1: Find radius of cylinder

The diameter of the circle is 6 yd, so radius $r = \frac{6}{2} = 3$ yd.

Step2: Calculate area of two circles

Area of one circle: $\pi r^2 = \pi (3)^2 = 9\pi$. Two circles: $2 \times 9\pi = 18\pi$.

Step3: Calculate lateral surface area

Circumference of circle: $2\pi r = 2\pi(3) = 6\pi$. Lateral area: $6\pi \times 14 = 84\pi$.

Step4: Total surface area

Add areas: $18\pi + 84\pi = 102\pi$.

Answer:

$102\pi$ square yards