Find the height of a cylinder with a volume of 108 piecube the radius of the cylinder is twice the height
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Given:
- Volume of cylinder = 108π cm³
- Radius of cylinder = 2h
To find out:
Find the height of the cylinder?
Formula used:
Volume of cylinder = πr²h
Solution:
Let the height of cylinder be h.
★According to the question,
Volume of cylinder = πr²h
➠ 108 π = π × (2h)² × h
➠ 108π = π × 4h² × h
➠ 4h³ = 108π/π
➠ 4h³ = 108
➠ h³ = 108/4
➠ h³ = 27
➠ h = 3 cm
Hence, the height of given cylinder is 3 cm.
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