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 = V_B/V_A = 216π/8π = 27 LSF³ =27 LSF = 3 ii) SA_B= 2πr_B² + 2πr_BH_B Find H and r for B H_B= LSF*H_A= 6 cm V_B= πr_B²H_B= 216π = πr_B²6 => r_B= sqrt(V_B/πH_B) =6cm r_B=6cm H_B=6cm sub in to SA equation SA_B= 2πr_B² + 2πr_BH_B= 2π6²+2π66 = 144π cm² SA_B = 144π cm²