The radius of the pool with height as 0.5 cm and volume as 12,000 cm³ is 87.39 cm.
We have that:
Radius of the water pipe = 0.74 cm
r = 0.74 cm
It fills a 12 L bucket in 4 minutes
1 L = 1000 cm³
12 L = 12,000 cm³
Volume of water put in the pool = 12,000 cm³
Height of the pool that rise = 5 mm = 0.5 cm.
H = 0.5 cm
Let the radius of the pool be R.
Volume = π r² h
Substituting the values, we get that:
12,000 = ( 22 / 7 ) R² ( 0.5 )
R² = 7636.36
R = 87.39 cm
Therefore, we get that, the radius of the pool with height as 0.5 cm and volume as 12,000 cm³ is 87.39 cm.
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