surface area of the cylinder is 600 cm2
. The volume of the cylinder is V cm3
(a) Show that V = 300r − πr^3
Given that r can vary,
(b) (i) use calculus to show that the exact value of r for which V is a
maximum is r = root 100 by π
(ii) justify that this value of r gives a maximum value of V
The cylinder is melted down and reformed into a sphere of radius p cm.
(c) Find, to one decimal place, the greatest possible value of p.
