Question

A right circular cylindrical container,contains 2160cubic cm water. if the diameter of the base of the cylindrical container is 24 cm, then find the height of the cylindrical container.

Answer 1

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Answer 2

The height of the cylindrical container is 4.77 cm.

Step-by-step explanation:

Given,

Diameter of cylindrical container = 24 cm

Since The right circular cylindrical container,contains 2160 cubic cm water.

That means volume of the container = 2160 cubic cm.

We have to find out the height of the container.

So, $radius = \frac{diameter}{2}=\frac{24}{2}=12\ cm$

Now, Volume of cylindrical container = $\pi\times r^2\times\ h$

Where r is the radius and h is the height.

On substituting the values, we get;

$\pi\times(12)^2\times h= 2160\\\\3.14\times 144\times h=2160\\\\h=\frac{2160}{3.14\times144}=4.77\ cm$

Hence The height of the cylindrical container is 4.77 cm.