Answer:
2 2/3 cm
Step-by-step explanation:
The volume of a cylinder is given by
V = pi r^2 h
We know the volume =96 pi and the diameter is 12
We want the radius
r =d/2 = 12/2 =6
96 pi = pi * (6)^2 h
96 pi = 36 pi h
Divide each side by 36 pi
96 pi/36 pi = 36pi h / 36 pi
8/3 = h
Changing from an improper fraction to a mixed number
2 2/3 = h
Answer: the height of the cylinder is 2.67 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 3.14
From the information given,
volume = 96 pi cubic centimeters
Diameter = 12 centimeters
Radius = diameter/2 = 12/2 = 6 centimeters
Therefore,
96π = π × 6² × h
96π = 36π × h
Dividing the left hand side and the right hand side of the equation by 36π, it becomes
96π/36π = 36π/36π × h
h = 2.67 centimeters
