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A cylinder with a base diameter of x units has a volumeof hex3 cubic units.Which stwo opticTherThe aThe alХThe heThe ha

User Jrushing
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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

Step-by-step 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

Hope this Helps!!!

User Priyabrat Nanda
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