A cylinder has a radius of 5x + 2 and the height of 2x + 8 which polynomial in standard form best describes a total value of the cylinder use the formula V equals pi r to the second H for the volume of the cylinder
The formula for the volume of a cylinder is V = πr^2h, where r is the radius and h is the height.
Given that the radius is 5x + 2 and the height is 2x + 8, we can substitute these values into the formula to find the total volume.
V = π(5x + 2)^2(2x + 8)
V = π(25x^2 + 20x + 4)(2x + 8)
V = π(50x^3 + 160x^2 + 80x + 8x^2 + 32x + 16)
V = π(50x^3 + 168x^2 + 112x + 16)
V = 50πx^3 + 168πx^2 + 112πx + 16π
Therefore, the polynomial in standard form that best describes the total volume of the cylinder is:
50πx^3 + 168πx^2 + 112πx + 16π