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 hight of the cylinder must be 5 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=πr2 h V=πr25r V=5 πr3  r=V/(5π)3=1.25/(5 3.1416)3=0.4301 dm
h=5 r=5 0.4301=2.1506 dm

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