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Further applications of differentiation — Question 237

Original QCE Vault practice · 6 marks

Q237 · Practice questionTechnology-activeComplex unfamiliar6 marks

QUESTION 237 (6 marks)

A closed cylindrical can must hold

750\,\mathrm{cm}^{3}

. Let

r

be its radius.

Original diagram for Mathematical Methods Paper 2 question 18

a)

Show that its surface area can be written

S(r)=2\pi r^{2}+\frac{1500}{r}

.

[2 marks]

b)

Find the radius that minimises surface area.

[2 marks]

c)

Find the corresponding height and minimum surface area.

[2 marks]

Question linkSyllabus coverage

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