Question

You want to siphon rainwater and melted snow from the cover of an above-ground swimming pool. The cover is 2.1 m above the ground. You have a plastic hose of 1.5 cm radius with one end in the water on the pool cover and the other end on the ground.

If you want to empty the pool cover in half the time, how much wider should the hose be?​

Answer 1

Below

Step-by-step explanation:

You will need a hose with double the cross sectional area

Area = pi r^2

pi * (1.5)^2 = 2.25 pi

now double it to 4.5 pi and solve for r

4.5 pi = pi r^2

4.5 = r^2 r = 2.12 cm radius

2.12 - 1.5 = the hose radius should be increased .621 cm

this would be .621 * 2 = 1.24 cm wider