An open cylindrical vessel is to be made to hold 500 cm of liquid

MATHEMATICS · Single correct · AP · Calculus AB · Analytical Applications of Differentiation · Analytical Applications of Differentiation

Problem

An open cylindrical vessel is to be made to hold 500 cm

^{3}

of liquid. The vessel has no lid. Which of the following values of the base radius

r

(in cm) will minimise the amount of metal required? (a)

4.3

(b)

6.3

(c)

5.4

(d)

4.8