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

Answer 1

Number of circular pipes with an inside diameter of 1 cm which will carry same amount of water will be 64

Step-by-step explanation:

Given

The larger diameter of  pipe = 8 cm

The smaller diameter of  pipe = 1 cm

The cross sectional area of larger pipe will be given as $\pi r^2$

                                                                                        = $\pi *8^2$

                                                                                        = 64 $\pi$

Now the cross sectional area of smaller pipe will be = $\pi *1^2$

                                                                                       = $\pi$

So total no. of pipes of 1 cm diameter required are = $\frac{cross sectional area of larger diameter}{cross sectional area of smaller diameter}$

                                                                                      = $\frac{64\pi }{\pi }$

                                                                                      = 64 (Ans)