Cylinder surface area

Volume of a cylinder whose height is equal to the radius of the base is 678.5 dm3. Calculate its surface area.

Correct result:

S =  452.352 dm2

Solution:

V=678.5 h=r V=πr2 h=πr3 r=V/π3=678.5/3.14163≐5.9998 h=r=5.9998≐5.9998 S=2π⋅ r2+2π⋅ r⋅ h=2⋅ 3.1416⋅ 5.99982+2⋅ 3.1416⋅ 5.9998⋅ 5.9998=452.352 dm2

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