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Answer :

Hrishiigo

Answer:

3 cm

Step-by-step explanation:

  • [tex]V_{cylinder} = 189\pi \: cm^3[/tex] (Given)

  • [tex]h_{cylinder} = 21\: cm[/tex] (Given)

  • Formula for [tex]V_{cylinder}[/tex] is given as:

  • [tex]V_{cylinder} = \pi r^2h[/tex]

  • [tex]\implies 189\pi = \pi r^2(21)[/tex]

  • [tex]\implies \frac{ 189\pi}{21\pi} = r^2[/tex]

  • [tex]\implies 9 = r^2[/tex]

  • [tex]\implies \pm\sqrt 9 = r[/tex]

  • [tex]\implies \pm 3 = r[/tex]

  • Length of radius can not negative

  • [tex]\implies r = 3 \: cm[/tex]

Hope it helps you in your learning process.

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