Cylinder

The cylinder surface is 922 dm2, its height is equal to the radius of the base. Calculate height of this cylinder.

Result

h =  8.57 dm

Solution:

S=922 dm2 r=h S=2 πr2+2 πrh S=2 πr2+2 πr2 S=4 πr2  r=S4π=9224 3.14168.5657  h=r=8.56578.56578.57 dmS=922 \ \text{dm}^2 \ \\ r=h \ \\ S=2 \ \pi r^2 + 2 \ \pi r h \ \\ S=2 \ \pi r^2 + 2 \ \pi r^2 \ \\ S=4 \ \pi r^2 \ \\ \ \\ r=\sqrt{ \dfrac{ S }{ 4 \pi } }=\sqrt{ \dfrac{ 922 }{ 4 \cdot \ 3.1416 } } \doteq 8.5657 \ \\ \ \\ h=r=8.5657 \doteq 8.5657 \doteq 8.57 \ \text{dm}



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