The volume of a cylinder is 189x cm cubed?. The height of the cylinder is 21 cm. What is the radius of the cylinder?

1 answer

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))).