Answer:
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.
