Answer
Radius of the cylinder = (x/2) units
Area of the base of the cylinder = ¼(πx²) square units
Height of the cylinder = 4x units
Explanation
The volume of a cylinder is given as
Volume = πr²h
where, for this cylinder,
Volume = πx³
π = pi
r = radius of the cylinder = ½ (diameter) = ½ (x) = (x/2)
h = height of the cylinder = ?
Volume = πr²h
πx³ = (π) (x/2)² (h)
x³ = (x²/4) (h)
h = 4x³/x²
h = 4x
Area of the base of the cylinder = πr² = π (x/2)² = (πx²/4) square units
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