Final answer:
To find the height of the cylinder, use the formula for the volume of a cylinder and solve for h by substituting the given values.
Step-by-step explanation:
To calculate the height of the cylinder, we can use the formula for the volume of a cylinder, which is V = πr^2h, where V is the volume, r is the radius, and h is the height.
In this case, the volume is given as 1470π cm^3 and the radius is 7 cm. Substituting these values into the formula, we get 1470π = π(7^2)h.
Simplifying the equation, we cancel out the π's on both sides and solve for h: h = 1470/49 = 30 cm.
Therefore, the height of the cylinder is 30 cm.
Learn more about Volume of a cylinder