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.
