450 cubic centimetres of wood is used to make a solid cylindrical ornament. The radius of the bas of the ornament is 5 centimetres. What is the height of the cylindrical ornament?

Respuesta :

ANSWER

[tex]5.73\text{ }cm[/tex]

EXPLANATION

We want to find the height of the cylindrical ornament.

To do this, we have to apply the formula for the volume of a cylinder:

[tex]V=\pi r^2h[/tex]

where r = radius

h = height

To find the height of the ornament, substitute the given values into the equation and solve for h:

[tex]\begin{gathered} 450=\pi *5^2*h \\ \\ h=\frac{450}{\pi *5^2} \\ \\ h=5.73\text{ }cm \end{gathered}[/tex]

That is the answer.