Cylinders

The area of the side of two cylinders is the same rectangle of 33 mm × 18 mm.

Which cylinder has a larger volume and by how much?

Result



Δ V =  709 mm3

Solution:

V=πr2h a=33 mm b=18 mm  r1=a/(2⋅π) V1=πr12b  V1=182⋅334π=850.84 mm3  r2=b/(2⋅π) V2=πr22a   V2=332⋅184π=1559.88 mm3  ΔV=∣V1−V2∣=709 mm3

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