Question

What is the height 3.14 round your answer to the nearest hundreth

Answer 1

Answer:

The height of the cylinder is 18 cm

Step-by-step 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

`\begin{gathered} Volume\text{ of a cylinder = \pi r}^2h \\ where\text{ r = radius} \\ h\text{ = height} \end{gathered}`

Substitute the values into the formula:

`\begin{gathered} Volu\text{me of the cylinder = 3.14 }*\text{ 9}^2* h \\ 4578.12\text{ = 254.34h} \end{gathered}`

Divide both sides by 254.34:

`\begin{gathered} (4578.12)/(254.34)\text{ = h} \\ \\ h\text{ = 18 cm} \end{gathered}`

The height of the cylinder is 18 cm