The volume of a cylinder is 189x cm cubed?. The height of the cylinder is 21 cm. What is the radius of the cylinder?
To find the radius of the cylinder, we need to use the formula for the volume of a cylinder: V = πr^2h, where V is the volume, r is the radius, and h is the height.
Given:
V = 189x cm^3
h = 21 cm
We can rearrange the formula to solve for r:
V = πr^2h
189x = πr^2(21)
Divide both sides of the equation by π(21):
189x / (π(21)) = r^2
Simplify the right side:
r^2 = 189x / (π(21))
Take the square root of both sides to solve for r:
r = √(189x / (π(21)))
Therefore, the radius of the cylinder is √(189x / (π(21))).