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 result:

D =  7.4004 cm
h =  23.2489 cm

Solution:

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)3≐3.7002 cm  D=2⋅ r=2⋅ 3.7002=7.4004 cm
h=2π⋅ r=2⋅ 3.1416⋅ 3.7002≐23.2489=23.2489 cm V2=π⋅ r2⋅ h=3.1416⋅ 3.70022⋅ 23.2489=1000 cm3 V2=V

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