The largest

The largest possible cylinder was cut from a 20 cm cube. What is the volume of this cylinder?

Result

V =  6283.185 cm3

Solution:

a=20 cm  r=a/2=20/2=10 cm h=a=20 cm  V=π r2 h=3.1416 102 206283.18536283.185 cm3a=20 \ \text{cm} \ \\ \ \\ r=a/2=20/2=10 \ \text{cm} \ \\ h=a=20 \ \text{cm} \ \\ \ \\ V=\pi \cdot \ r^2 \cdot \ h=3.1416 \cdot \ 10^2 \cdot \ 20 \doteq 6283.1853 \doteq 6283.185 \ \text{cm}^3



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