A bucket is in the form of a frustum of a cone and holds litres of water. The radii of the top and bottom are cm and cm, respectively. Find the height of the bucket.
Step-1 : Given data:
Volume of bucket
Radius of top
Radius of bottom
We know that
Volume of bucket
Step-2 Voulme of frustrum:
The bucket is in the form of frustum of a cone.
Volume of frusturm of cone
Where,
and are the radii()
On substituting these values in the equation to find the volume of bucket, we obtain:
Hence, the height of the bucket