Given:
Side length = 12 in
To find:
The area of the regular polygon.
Solution:
Number of sides (n) = 6
Let us find the apothem using formula:
where s is side length and n is number of sides.
Area of the regular polygon:
in²
The area of the regular polygon is 374.1 in².
We are given
area of sphere is 200.96cm^2
it means that we are given surface area
so, we can use surface area formula
where S is surface area
r is radius
so, firstly we need to find radius or r
we can solve for r
now, we can find volume
we can plug r
now, we can find volume
.............Answer