Answer: 
Step-by-step explanation:
The volume of a cylinder is calculated using the formula:

In which "r" represents the radius and "h" is the height.
Convert inches to feet. Given that
, the result is:

Therefore, you can determine:

After substituting these values into the formula and simplifying, the result is:

Consequently, the equation representing the volume of L feet of drainage tubing, in cubic feet, is:

Answer: The cube root of 10 is 2.1544, using an initial value of -0.003723.
Step-by-step explanation: The Newton-Raphson method is utilized for root finding, and its formula is NR: X=Xo-(f(x)/f'(x)). Before applying this formula, the derivative of the equation must be determined. Given that X =10, this method was implemented to identify the best root to ascertain the cube root of 10 to 5 significant figures. Utilizing software like Excel for quicker iteration calculations is advisable. The found root in this instance was -0.003723.
The minimum number of batches Joyce can produce is one.
For every cup of sugar, you will need five cups of water. To find out how much sugar is used per cup, you take 1 and divide it by 5, resulting in 1/5 cups of sugar.