Question

39. Below are the drawings of cross sections of two different pipes used to fill swimming pools. Figure A is a combination of 2 pipes each having a radius of 8 cm. Figure B is a pipe having a radius of 15 cm. If the force of the flow of water coming out of the pipes is the same in both the cases, which will fill the swimming pool faster?

Answer 1

Step-by-step explanation:

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Answer 2

The pipe with 15 cm radius will fill the swimming pool faster.

Step-by-step explanation:

The two circular pipes, each with a radius of 8 cm will have a total cross-sectional area = $2\pi r^{2} = 2 \times \frac{22}{7} \times (8)^{2} = 402.3$ cm².

Again, the cross-sectional area of the circular pipe with a radius of 15 cm will be = $\pi R^{2} = \frac{22}{7}\times (15)^{2} = 707.14$ cm².

So, as the force of the flow of water coming out of the pipes os the same in both the cases, hence the pipe with a 15 cm radius will fill the swimming pool faster as the cross-sectional area of this pipe is more. (Answer)