Question

HURRY 50 POINTS
What is the height of a cylinder with a radius of 3 and a volume of 189?

Answer 1

h≈6.68

Explanation:

6.68 is the height of a cylinder with a radius of 3 and a volume of 189

Answer 2

6.68 units (2 d.p.)

Explanation:

The formula for the volume of a cylinder is:

`\boxed{V=\pi r^2 h}`

where:

• V is the volume.
• r is the radius of the circular base.
• h is the height.

Given values:

• V = 189 cubic units
• r = 3 units

To find the height of the cylinder, substitute the given values into the formula and solve for h:

`\implies 189=\pi \cdot 3^2 \cdot h`

`\implies 189=9\pi \cdot h`

`\implies (189)/(9 \pi)=(9\pi \cdot h)/(9 \pi)`

`\implies (189)/(9 \pi)=h`

`\implies h=6.6845076...`

Therefore, the height of a cylinder with a radius of 3 units and a volume of 189 cubic units is 6.68 units (2 d.p.).