Question

the number of circular pipes with an inside diameter of 1 cm which will carry same amount of water as a pipe with inside diameter of 8cm is
plz answer it.

Answer 1

64 pipes with an inside diameter of 1 cm would be needed to carry a similar amount of water as the pipe with an internal diameter of 8 cm.

Step-by-step explanation:

The volume of the cylinder represents the water carrying capacity of the pipe.

Thus, the volume of water that can be carried by the pipe with an internal diameter of 1 cm is = π r2 h

                                = 0.25 π h

The volume of water that is carried by the pipe with an internal diameter of 8 cm is                      = π r2 h

                                 = 16 π h

The difference in the water carrying capacities of both the pipes is 16 π h / 0.25 π h

= 64

Thus, 64 pipes with an inside diameter of 1 cm would be needed to carry a similar amount of water as the pipe with an internal diameter of 8 cm.