Cylinder A has the volume 8π cm^3 and the height 2 cm. Cylinder B is a similar shape with a volume of 216 cm^3. i) find the linear scale factor. ii) find the surface area of cylinder B
i) Linear scale factor cubed = volume scale factor = VB/VA = 216π/8π = 27 LSF3 =27 LSF = 3 ii) SAB= 2πrB2 + 2πrBHB Find H and r for B HB= LSF*HA= 6 cm VB= πrB2HB= 216π = πrB26 => rB= sqrt(VB/πHB) =6cm rB=6cm HB=6cm sub in to SA equation SAB= 2πrB2 + 2πrBHB= 2π62+2π66 = 144π cm2 SAB = 144π cm2
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