The volume of a cone is V = 1/3 pi r^2 h
h = 8
pi = 3.14
V =471.24
r = ???
d = ???
471.24 = 3.14 * 8 * r^2
471.24 = 25.12 * r^2
471.24 / 25.12 = r^2
18.76 = r^2
r = sqrt(18.76)
r = 4.312
The diameter is 2*4.312 = 4.624 in. <<<<<==== answer.
In part A, we need to solve for the total length of sides 1, 2 and 3.
Since all three sides measurements are given, we have the solution below:
Sides123 = Side 1 + Side 2 + Side 3
Sides123 = (3y² + 2y - 6) + (4y² + 3y -7) + (5y² + 4y -8)
Sides123 = 12y² + 9y - 21
This is the total length of sides 1,2 and 3 "12y² + 9y - 21"
In part B, we need to solve for the length of the fourth side and the solution is shown below:
Side 4 = Perimeter / Sides123
Side 4 = (4y³ + 18y² + 16y -26) / 12y² + 9y -21

and fairly sure you know how much that is.
The answer is D
1) Add all the hours to get 32.9
2) multiply by 21.07
3) The answer is 693.203, which is $693.20