Question

A cylinder with radius 333 units is shown below. Its volume is 868686 cubic units.

Find the height of the cylinder.
Use 3.143.143, point, 14 for \piπpi and round your final answer to the nearest hundredth.

Answer 1

For this case we have that by definition, the volume of a cylinder is given by:

$V = \pi * r ^ 2 * h$

Where,

• r: cylinder radius
• h: cylinder height

Rewriting the expression for height, we have:

$h = \frac {V} {\ pi * r ^ 2}$

Substituting values ​​we have:

$h = \frac {86} {3.14 * (3 ^ 2)}\\h = 3.04 units$

Answer:

the height of the cylinder is:

$h = 3.04 \ units$