29.
2 answers:
Answer:
Option 1st is correct
585
Step-by-step explanation:
Area(A) of a regular hexagon is given by:
....[1]
where,
P is the perimeter and a is the apothem of the regular hexagon.
As per the statement:
An apothem 13 inches long and a side 15 inches long.
⇒a = 13 inches and side = 15 inches
Perimeter of hexagon(P) = 6s ; where s is the side
⇒P = 6(15) = 90 inches
Substitute the given values in [1] we have;
Simplify:
A = 585 square inches.
Therefore, the area of a regular hexagon with an apothem 13 inches long and a side 15 inches long is,
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You should get a parabolic shape with min at (0,6) and end points intersecting with y=7.
When you rotate this around y=5, it will look like a vertical doughnut.
The cross-section of a doughnut is circular and looks like a washer.
Hence, we will use the 'washer method'
R is radius of outer ring from center which is y=5. The max value of region is y=7, giving a distance of 2 for our radius.
R = 2
'r' is radius of inner ring, this is point along curve f(x)=5+sec(x).
The distance from y=5 would be f(x) - 5.
r = sec(x)