Question

1. use the net to find the surface area of the cylinder. give your answer in terms of π. (there is a diagram of a cylinders net with a rectangle labeled 7 yd and two circles with radius 5 yd)

Explanation:

Step1: Identify cylinder dimensions

Radius $r=5$ yd, height $h=7$ yd.

Step2: Calculate lateral surface area

Lateral area = $2\pi rh = 2\pi(5)(7) = 70\pi$.

Step3: Calculate area of two circles

Area of 2 circles = $2\pi r^2 = 2\pi(5)^2 = 50\pi$.

Step4: Total surface area

Total = $70\pi + 50\pi = 120\pi$.

Answer:

$120\pi$ square yards