Perimeter of base

The circumference of the base of the rotating cylinder is same as its height. What is the diameter and height of this cylinder with volume 1 liter?

Correct answer:

D =  7.4004 cm
h =  23.2489 cm

Step-by-step explanation:

V=1 l cm3=1 1000  cm3=1000 cm3 o=h 2π r=h  V=π r2 h V=π r2 (2π r) V=2π2 r3  r=V/(2π2)3=1000/(2 3.14162)33.7002 cm  D=2 r=2 3.7002=7.4004 cm
h=2π r=2 3.1416 3.700223.2489=23.2489 cm V2=π r2 h=3.1416 3.70022 23.2489=1000 cm3 V2=V

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