CBSE Class 10-Mathematics: Chapter – 13 Surface Areas and Volumes Part 18 (For CBSE, ICSE, IAS, NET, NRA 2022)

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Question 11:

A cylindrical bucket, and high and with radius of base , is filled with sand. This bucket is emptied on the ground and a conical heap of sand is formed. If the height of the conical heap is , find the radius and slant height of the heap.


For cylindrical bucket, Radius of the base

For conical heap, Height

Let the radius be .

Then, Volume

According to question, Volume of bucket Volume of conical heap

Now, Slant height

Question 12:

Water in a canal wide and deep is flowing with a speed of . How much area will it irrigate in minutes, if of standing water is needed?


For canal, Width and Depth

Speed of flow of water

Speed of flow of water in minutes

Volume of water that flows in minutes

hectares hectares

Question 13:

A farmer connects a pipe of internal diameter from a canal into a cylindrical tank in her field, which is in diameter and deep. If water flows through the pipe at the rate of , in how much time will the tank be filled?


For cylindrical tank, Diameter

Rate of flow of water

For pipe, Internal diameter , therefore radius

Volume of water that flows per minute

Required time

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