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The height of a right cylinder is 3 times the radius of the base. The volume of the cylinder is 24π cubic units. What is the height of the cylinder?
a. 2 unitsB. 4 unitsC. 6 unitsD. 8 units

Respuesta :

sqdancefan
[tex]h=3r\\\\r=\dfrac{h}{3}\\\\V=\pi r^2\cdot h\\\\24\pi=\pi\left(\dfrac{h}{3}\right)^{2}\cdot h\\\\9\cdot 24=h^3\\\\h=\sqrt[3]{3\cdot3\cdot3\cdot8}\\\\h=6[/tex]

The appropriate choice is
  C. 6 units

Answer:

6

Step-by-step explanation:

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