Answer:

Step-by-step explanation:
Given the equation

Use distributive property:

Use commutative property to rewrite the equation:


Add 10 th both sides:

Subtract 

Divide by 13:

5/2
70 is the constant number that doesn’t change, but anytime you increase t you are raising it above 5/2. So every time you grow 5/2.
Use these equations when converting polar equations to parametric equations:


We know that
, so substitute that into both equations for x and y.


Now, replace
with any variable that you want to represent the parametric equations in. I'll use the standard variable, 


Thus,
represented in parametric form is:

Let me know if you need any clarifications, thanks!
~ Padoru
To find the volume of the box you will use the volume of the sphere formula to find the radius of the circular region of the sphere. You wil then double the radius to find the diameter.
V = 4/3 x pi x r^3
972 x pi= 4/3 x pi x r^3
729 = r^3
The cubic root of 729 is 9 because 9 x 9 x 9 = 729.
The radius is 9 inches, and the diameter is 18 inches.
The volume of the box is 18 in x 18 in x 18 in or 5832 in.³.