Question

water flows at the rate of 10m/minute through a cylindrical pipe 5mm in diameter how long would it take to fill a conical vessel whose diameter at the base is 40cm dept 24cm
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Answer 1

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CBSE

Mathematics

Grade 10

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Water flows at the rate of 10m per minute through a cylindrical pipe having its diameter as 5mm. How much time will it take to fill a conical vessel whose diameter of the base is 40cm and depth is 24cm.

Answer

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Hint: In this question, first of all, draw the diagram to visualize the question. Now, find the volume of the conical vessel by the volume of the water flowing through the pipe in 1 minute. Now, divide these values to find the time taken to fill the conical vessel.

Complete step-by-step solution -

We are given that the water flows at the rate of 10m per minute through a cylindrical pipe having its diameter as 5mm. We have to find the time it will take to fill a conical vessel whose diameter of the base is 40cm and depth is 24cm. Let us see the question diagrammatically.

 

Here, we have to fill the conical vessel of the diameter 40cm and depth 24cm. So, first of all, we need to find the capacity of water that the conical vessel can hold. To find the capacity of the conical vessel, we have to calculate its volume.

We know that volume of the cone 

By substituting the value of 

r=402=20cmr=402=20cm

 and h = 24cm, we get,

The volume of the conical vessel