Question

the volume of the following cylinder is 1055.04 units cubed.
find the height of the cylinder.
use 3.14 for pi.
round to the nearest whole number if necessary.
(there is a diagram of a cylinder with radius 4 cm and height h to be found)

Explanation:

Step1: Recall Cylinder Volume Formula

The volume \( V \) of a cylinder is given by \( V = \pi r^2 h \), where \( r \) is the radius and \( h \) is the height.

Step2: Identify Given Values

We know \( V = 1055.04 \) cubic units, \( \pi = 3.14 \), and \( r = 4 \) cm (from the diagram).

Step3: Solve for \( h \)

Rearrange the formula to solve for \( h \): \( h = \frac{V}{\pi r^2} \).
Substitute the values:
First, calculate \( r^2 \): \( 4^2 = 16 \).
Then, calculate \( \pi r^2 \): \( 3.14 \times 16 = 50.24 \).
Now, divide \( V \) by \( \pi r^2 \): \( h = \frac{1055.04}{50.24} = 21 \).

Answer:

21