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7. use the net to find the surface area of the cylinder. give your answ…

Question

  1. use the net to find the surface area of the cylinder. give your answer in terms of π. 4 yd 12 yd

Explanation:

Step1: Find radius of the circle

The diameter is 4 yd, so radius $r = \frac{4}{2} = 2$ yd.

Step2: Identify height of cylinder

The height $h$ equals the rectangle's length: 12 yd.

Step3: Calculate surface area

Surface area formula: $2\pi r^2 + 2\pi rh$
Substitute values: $2\pi(2)^2 + 2\pi(2)(12) = 8\pi + 48\pi = 64\pi$

Answer:

$64\pi$ square yards