1. 0.01333
2. 0.29069767
3. 0.45977011
Assuming that means the diameter is 6in
so then
vsphere=(4/3)pir^3
r=d/2
d=6
6/2=3=r
vcube-vsphere=space
vcube=side^3=6^3=216
vsphere=(4/3)pi3^3=36pi=113.093755
space=216-113.083755=102.9026644707 cubic inches of empty space
4.572 kilometers is the answer.
The value of the interior angle of the regular polygon is calculated using the formula (n - 2) 180 / n where n is the number of sides of the regular polygon.
<u>Step-by-step explanation:</u>
A regular polygon refers to a multi-sided convex figure where all the sides are equal in length and all the angles have equal degree measures.
The triangle has 3 interior angles of 60 degrees
The square has 4 interior angles of 90 degrees.
The pentagon has 5 interior angles of 108 degrees .
The formula for the interior angle of a regular polygon is given by,
(
n
−
2
)
180 / n
where n refers to the number of sides.
Triangle : (3 - 2) 180 / 3 = 60 degree.
Square : (4 - 2) 180 / 4 = 90 degree.
Pentagon: (5 - 2) 180 / 5 = 108 degree.
3.5(2h+4.5)=57.75
7h+15.75=57.75
7h=57.75-15.75
7h=42
h=42/7
h=6
