he area of the base of a cylinder is found by dividing the volume of the cylinder by its height.

If the volume of the cylinder is represented by 5x2 + 15x + 2 and the height is 5x, which expression represents the area of the base?

x2 + 3x +
5x (5x2 + 15x + 2)
x + 3 +
x (x2 + 3x +2)

1 answer

The area of the base of a cylinder is given by the formula:

Area = Volume / Height

Given:
Volume = 5x^2 + 15x + 2
Height = 5x

Substitute the values of volume and height into the formula:

Area = (5x^2 + 15x + 2) / 5x

Simplify the expression:

Area = (x^2 + 3x + 0.4)

Therefore, the expression that represents the area of the base of the cylinder is:

x^2 + 3x + 0.4