A Math · Secondary 4 · Hard · Maxima and minima problems
The total surface area S of the capsule in Question 5 (including the flat circular base) can be written as S=3πr2+2πrh. Using h=r280−32r3, express S in terms of r only.
S=35πr2+r160π
S=3πr2+r160π
S=35πr2−r160π
S=34πr2+r80π
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