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The volume of a cylinder is 108π cm and its height is 12 cm.

What is the length of the cylinder's radius?

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cm

User MFB
by
2.3k points

2 Answers

21 votes
21 votes


\\ \sf\longmapsto \pi r^2h=108\pi


\\ \sf\longmapsto r^2h=108


\\ \sf\longmapsto 12r^2=108


\\ \sf\longmapsto r^2=\dfarac{108}{12}


\\ \sf\longmapsto r^2=9


\\ \sf\longmapsto r=√(9)


\\ \sf\longmapsto r=3

  • Radius is 3cm
User Albena
by
2.6k points
16 votes
16 votes

Answer:


\bf √(15\pi \: cm) \approx 6,86468

Explanation:

r² = Vπ ÷ t

r² = 180π cm ÷ 12 cm


\sf r = \sqrt{ (180\pi \: cm)/(12 \: cm ) }


\sf r = √(15\pi \: cm) \approx 6,86468

Conclusion:

The length of the radius of the cylinder is
\bf √(15\pi \: cm) \approx 6,86468.

User Ncherro
by
3.1k points
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