Problem 1
To find the height and radius of the tank to minimize the cost of materials, the first step is to
understand the question, this shows the tank being split into its separate parts making it simpler
to understand how to make the function.
Step 2 is to create a function to substitute in the values R and H. The created function, pictured
below, is 130πRY+33R.
Step 3 is to add the known information such as prices and the volume and simplify (this step can
be found under calculating cost). The first value found is R; this is then used to substitute into the
formula for H. By following these steps, you can determine the optimal dimensions of the tank to
minimize material costs effectively.
To find the height and radius of the tank to minimize the cost of materials, the first step is to
understand the question, this shows the tank being split into its separate parts making it simpler
to understand how to make the function.
Step 2 is to create a function to substitute in the values R and H. The created function, pictured
below, is 130πRY+33R.
Step 3 is to add the known information such as prices and the volume and simplify (this step can
be found under calculating cost). The first value found is R; this is then used to substitute into the
formula for H. By following these steps, you can determine the optimal dimensions of the tank to
minimize material costs effectively.
