A cylindrical can, open at the top, is to hold 900 cm3 of liquid. Find the height and radius that minimize the amount of material needed to manufacture the can. Enter your answer with rational exponents, and use pi to represent π

Step-by-step explanation:

let r be the radius of the cylinder and h the height:

The surface are as a function of the radius and the first derivative is calculated as;

Hence, the least surface area is achieved when the height and radius of the cylinder is equal,

b. 24 mm

step-by-step explanation:

use the pythagorean theorem.

a^2 + b^2 = c^2

a^2 + 7^2 = 25^2

a^2 + 49 = 625

a^2 = 576

a = 24

answer: b. 24 mm

50.6

step-by-step explanation: