A person has manufactured a water tank in the shape of a closed right circular cylinder. The volume…
Mathematics20266 marksDerivation
A person has manufactured a water tank in the shape of a closed right circular cylinder. The volume of the cylinder is $\frac{539}{2}$ cubic units. If the height and radius of the cylinder be h and r. (Application)
(a)[1.5]
Express h in terms of radius r and given volume.
(b)[1.5]
Let the total surface area of the closed cylinder tank be S, express S in term of radius r.
(c)[1.5]
If the total surface area of the tank is minimum, then prove that radius $r = \frac{7}{2}$ units.
