Answer: the area of the cylinder's base is ¼πx² square units.
the height of the cylinder is 4x units.
Step-by-step explanation:
The 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
From the information given,
Volume = πx³ cubic units
Base diameter = x units
Radius = diameter/2 = x/2
Therefore,
Area of a circle = πr²
Since the base is a circle, then
Area of circular base = π × (x/2)²
= 1/4πx² square units
Height = volume/πr²
Since
Volume = πx³
Then
Height = πx³/(1/4πx²)
= πx³ × 4/πx²
= 4x units
Answer:
(2)B. he area of the cylinder's base is ¼πx² square units.
(5)E. the height of the cylinder is 4x units
Step-by-step explanation:
