The formula for determining the volume of a cylinder is expressed as
Volume = pi * radius^2 * height
From the information given,
the circumference of the circular base = 16 * pi
We know that
circumference = 2 * pi * radius
Thus, 2 * pi * radius = 16 * pi
pi cancels out on both sides of the equation. It becomes
2 * radius = 16
radius = 16/2 = 8
Recall, pi = 3.14
Height = 5
Thus,
Volume = 3.14 * 8^2 * 5
Volume = 1004.8
Thus, the closest measurement is 1005.3 cm^3
The first option is correct