Cone Height Comparison

Two cones have the same volume. If one has a base with radius 3 times as large as the other's and a height of 24 inches, how many inches tall is the other? Note: The volume of a cone is $ \frac{1}{3} \pi r^2 h, $ where $ r $ is the radius and $ h $ is the height.

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  • $\frac{a}{b}$
  • .
  • 0
  • =
  • %
  • $a^n$
  • $a^{\circ}$
  • $a_n$
  • $\sqrt{}$
  • $\sqrt[n]{}$
  • $\pi$
  • $\ln{}$
  • $\log$
  • $\theta$
  • $\sin{}$
  • $\cos{}$
  • $\tan{}$
  • $($
  • $)$
  • $[$
  • $]$
  • $\cap$
  • $\cup$
  • $,$
  • $\infty$