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Question

A conical pit of top diameter3.5m is 12m deep. What is its capacity in kiloliters? (Assumeπ=22/7).


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Solution

Step 1- finding the volume of the pit

Radius of cone (r)=3.5/2m

Height of cone (h)=12m

Volumeofthecone=13πr2hVolumeofthecone=13×227×3.52×3.52×12Volumeofthecone=38.5m3

Step 2 - Finding the capacity of the conical pit.

Now, we know that, 1m3=1000litre

38.5m3willcontain=1000×38.5=38500litres

Now, we know that 1000litres=1kilolitre

So, 38500litres=385001000=38.5kilolitres

Hence, the capacity of the container is 38.5kiloliters.


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