Answer:
V = 5πX^2 + 50πX + 75π
Explanation:
The volume of a cylinder with radius r and height h is given by the formula:
V = πr^2h
Substituting the values for the radius and height of the cylinder in this formula, we get:
V = π(5X + 5)^2(5X + 3)
This can be written in standard form as:
V = 5πX^2 + 50πX + 75π
So, the polynomial in standard form that best describes the total volume of the cylinder is:
V = 5πX^2 + 50πX + 75π