Rotating cone

Calculate the volume and the surface area of a rotating cone of base radius r = 2.3 dm and a height h = 46 mm.

Correct result:

V =  2.5483 dm3
S =  33.5672 dm2

Solution:

r=2.3 dm v=46/100=2350=0.46 dm S1=π⋅ r2=3.1416⋅ 2.32≐16.619 dm2 V=S1⋅ v/3=16.619⋅ 0.46/3=2.5483 dm3
 s=r2+v2=2.32+0.462≐2.3455 dm S2=π⋅ r⋅ s=3.1416⋅ 2.3⋅ 2.3455≐16.9481 dm2 S=S1+S2=16.619+16.9481=33.5672 dm2

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