A cylindrical vase is filled with soil. If the height of the vase is 6 centimeters and the vase hold 471 cubic centimeters, what is the diameter of the vase?

10 cm

Step-by-step explanation:

The formula for the volume of a cylinder of diameter d and height h can be written as ...

V = (π/4) d²h

Filling in the given numbers, we can find d:

471 = (π/4) d²·6

4 (471) / (6π) = d² ≈ 100

d = √100 = 10

The diameter of the vase is about 10 cm.