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In Mathematics / Middle School | 2014-05-21

Find the volume of a right circular cylinder in terms of height "h," and simplify the expression where [tex]r = \frac{2}{3}h[/tex].

Asked by cnoble24

Answer (2)

Vol of right circular cylinder = Area of base x height Vol = πr² h
= π (2/3h)² h > r = 2/3h = π4/9h³

Answered by Poknoy | 2024-06-10

The volume of a right circular cylinder in terms of its height h and given that the radius r is 3 2 ​ h simplifies to V = 9 4 π ​ h 3 . This shows the relationship between volume and height is cubic when the radius is defined as such.
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Answered by Poknoy | 2024-12-26