Question 1028529
volume = 1248

Volume = pir^2* h


h= 1248/pi r^2

side of square will be 2r  where r is the radius of cylinder.
Area of base = 4r^2

Total surface area = 4r^2 + 2*pi*r*h

=4r^2 + 2*pi*r*(1248/r^2)

= 4r^2 +2496/r

For minimum area take the derivate dA/dr

dA/dr =8r-2496/r^2

0 = 8r-2496/r^2

8r=2496/r^2
8r^3=2496
r^3=312

r=6.78

V= 1248 = pi*r^2*h

1248/(pi*(6.78)^2)=h

h=8.64 cm

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