Question

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

What is the length of the cylinder's radius?

Enter your answer in the box.
cm

Answer 1

`\\ \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

Answer 2

`\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`.