Question

a cylindrical water tank has a volume of 6 pi x ^ 2 y ^ 4 cubic meters. the formula for the volume of a cylinder is pi r^2h. the water tank has a radius of XY meters. what is its height​?​

Answer 1

The height is (6xy^4)/(X^2Y^2) meters.

Step-by-step explanation:

To find the height of the cylindrical water tank, we need to rearrange the formula for the volume of a cylinder: V = πr^2h. We know that the volume of the water tank is 6πx^2y^4 cubic meters. The radius of the water tank is XY meters. We can substitute these values into the formula and solve for h:

6πx^2y^4 = π(XY)^2h

Simplifying the equation, we get:

6xy^4 = X^2Y^2h

Dividing both sides of the equation by X^2Y^2, we have:

h = (6xy^4)/(X^2Y^2)

Therefore, the height of the water tank is (6xy^4)/(X^2Y^2) meters.