Sanja Maliyat

2022-04-08

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

1413 square metres of paint was used to paint a closed cylindrical tank of
radius 10 metres. What is the height of the cylindrical tank?

Vasquez

We can start by using the formula for the volume of a cylinder, which is:
$V=\pi {r}^{2}h$
where $V$ is the volume of the cylinder, $r$ is the radius of the base, and $h$ is the height of the cylinder.
We are given that 450 cubic centimetres of wood is used to make the ornament, and the radius of the base is 5 centimetres. So we can substitute these values into the formula and solve for $h$:
$450=\pi \left(5{\right)}^{2}h$
Simplifying, we get:
$450=25\pi h$
Dividing both sides by $25\pi$, we get:
$h=\frac{450}{25\pi }$
Simplifying further, we get:
$h=\frac{18}{\pi }$
Therefore, the height of the cylindrical ornament is $\frac{18}{\pi }$ centimetres.

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