Diameter = height

The surface of the cylinder, the height of which is equal to the diameter of the base, is 4239 cm square. Calculate the cylinder volume.

Correct result:

V =  21189.6268 cm3

Solution:

S=4239 cm2 D=h=2r  S=2 πr2+2 πrh=2 πr(r+h) S=2 πr(r+2r)=2 πr3r=6 πr2  r=S6π=42396⋅ 3.1416≐14.9962 cm h=2⋅ r=2⋅ 14.9962≐29.9924 cm  V=π⋅ r2⋅ h=3.1416⋅ 14.99622⋅ 29.9924=21189.6268 cm3

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