Answer: radius = 19.99 centimeters
Step-by-step explanation:
The formula for determining the volume of a cylinder is expressed as
Volume = πr²h
Where
r represents the radius of the cylinder.
h represents the height of the cylinder.
π is a constant whose value is 22/7
From the information given,
Volume = 16328 cubic centimeters
Height = 13 centimeters
Therefore,
16328 = 22/7 × r² × 13
16328 = 40.857r²
Dividing the left hand side and the right hand side of the equation by 40.857, it becomes
r² = 16328/40.857 = 399.6378
Taking square root of the left hand side and the right hand side of the equation, it becomes
r = 19.99 centimeters