A cylinder's volume can be calculated by the formula V=Bh, where V stands for volume, B stands for base area, and h stands for height. A certain cylinder's volume can be modeled by 6πx7−6πx4−20πx2 cubic units. If its base area is 2πx2 square units, find the cylinder's height.

Step-by-step explanation:

We have been given that volume of a certain cylinder is and base area is . We are asked to find the height of the cylinder.

We know that a cylinder's volume can be calculated by the formula , where V stands for volume, B stands for base area, and h stands for height.

Let us solve for h.

Upon substituting our given values, we will get:

Let us factor out from numerator.

Upon cancelling out same terms, we will get:

Therefore, the height of the cylinder would be units.

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