A company wants to produce a bottle whose capacity is 1.25 liters. Find the dimensions of a cylinder that will be required to produce this 1.25litres if the height of the cylinder must be five times the radius.

Correct answer:

r =  0.4301 dm
h =  2.1506 dm

Step-by-step explanation:

V=1.25 l dm3=1.25 1  dm3=1.25 dm3 h = 5r V = π r 2 h V = π r 2 5r V = 5 π r3  r=3V/(5π)=31.25/(5 3.1416)=0.4301 dm
h=5 r=5 0.4301=2.1506 dm

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