Find the volume of a cylinder of height 6" and base with circumference 50.24".

1205.76 in³

Step-by-step explanation:

The formula for the circumference of a circle is ...

C = 2πr

Solving for r, we get ...

r = C / (2π)

The volume of a cylinder is given by ...

V = πr²h

Using the above expression for r, we can find the volume in terms of circumference and height:

V = π (C / (2π)) ²h = C²h / (4π)

Using the given numbers, we find the volume to be ...

V = (50.24 in) ² (6 in) / (4·3.14) = 1205.76 in³

The volume of the given cylinder is 1205.76 cubic inches.