A bucket full of water is in the form of a full stream of a cone full stop the bottom and top rally of the future are 80 cm and 28 cm respectively and the vertical depth is 30 cm. Ad water in the bucket is the airport into an empty cylindrical container what basic radius 20cm , find the depth of the water in the container. (Take pie equals to 22/7)



Answer :

Step-by-step explanation:

To find the depth of the water in the cylindrical container, we need to use the concept of similar triangles.

The ratio of the corresponding dimensions of two similar figures is the same.

Here, the ratio of the radius of the cone to the cylindrical container is \( \frac{28}{20} \), and the ratio of the height of the cone to the height of the cylindrical container is \( \frac{30}{h} \), where \( h \) is the depth of water in the cylindrical container.

So, we can set up the proportion:

\( \frac{28}{20} = \frac{30}{h} \)

Cross-multiplying, we get:

\( 28 \times h = 20 \times 30 \)

\( 28h = 600 \)

\( h = \frac{600}{28} \)

\( h ≈ 21.43 \) cm

So, the depth of the water in the cylindrical container is approximately 21.43 cm.