Answer:
The height of the cylinder is 18 cm
Explanation:
Given:
The volume of the cylinder = 4578.12 cm³
π = 3.14
radius = 9cm
height = ?
To get the height, we will apply the volume of a cylinder
[tex]\begin{gathered} Volume\text{ of a cylinder = \pi r}^2h \\ where\text{ r = radius} \\ h\text{ = height} \end{gathered}[/tex]
Substitute the values into the formula:
[tex]\begin{gathered} Volu\text{me of the cylinder = 3.14 }\times\text{ 9}^2\times h \\ 4578.12\text{ = 254.34h} \end{gathered}[/tex]
Divide both sides by 254.34:
[tex]\begin{gathered} \frac{4578.12}{254.34}\text{ = h} \\ \\ h\text{ = 18 cm} \end{gathered}[/tex]
The height of the cylinder is 18 cm
