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pi*r^2*h+2/3 pi r^3 = 486 pi

h = (486-2/3 r^3 )/r^2 = 486/r^2 -2/3 r

S = 2pi*r*h +3*pi*r^2 = 2*pi*r*(486/r^2-2/3r)+3 pi*r^2 = pi(772/r - 4/3 + 3r^2)

ds/dr = pi (-972/r^2 +6r) =0

r = (972/6)^(1/3 ) = 5.45 ft

h = 486/5.45^2-2/3*5.45 = 12.73 ft

hi these answers are wrong

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