The formula for S.A. of a cylinder: S.A. = 2πr² + 2πrh (given).
r is radius, which is half the diameter. The diameter is 6 in, thus the radius is 3 in. h is height; the height of this cylinder is 8 in. Let's plug in our numbers and solve.
S.A. = 2π3² + 2π(3)(8)
S.A. = 2π9 + 2π24
S.A. = 18π + 48π
S.A. = 66π
Since the question says not to round, we must leave the answer in terms of pi.
Answer:
S.A. = 66π
<h3>Answer:</h3>
<h3>Explanation:</h3>
Consider the case where each part is of length 1. Then the midpoint of the first segment is at 1/2.
a) If there are 3 segments, the midpoint of the last segment is halfway between 2 and 3, at 2 1/2. The distance from the first midpoint to the last midpoint is ...
... 2 1/2 - 1/2 = 2 . . . . . that is, 2/3 of the total line length
When the line length is m, that is 2/3·m
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b) If there are 5 segments, the midpoint of the last segment is halfway between 4 and 5, at 4 1/2. The distance from the first midpoint to the last midpoint is ...
... 4 1/2 - 1/2 = 4 . . . . . that is, 4/5 of the total line length
When the line length is m, that is 4/5·m
