Surface area of the top

A cylinder is three times as high as it is wide. The length of the cylinder’s diagonal is 20 cm. Find the surface area of the top of the cylinder.

Correct result:

S =  31.4159 cm2

Solution:

u=20 cm h=3D u2=h2+D2 u2=9D2+D2 D=u9+1=209+1=2 10 cm≐6.3246 cm r=D/2=6.3246/2=10 cm≐3.1623 cm h=3⋅ D=3⋅ 6.3246=6 10 cm≐18.9737 cm u2=h2+D2=18.97372+6.32462=20 cm u=u2(check−ok) S=π⋅ r2=3.1416⋅ 3.16232≐31.4159 S=10 π=31.4159 cm2

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