Question

A manufacturer can save money by making a can that maximizes volume and minimizes the amount of metal used.

What are the possible values for the height (h) of a can that satisfies the equation 2πr^3 = πr^2h?

A) h = 2r
B) h = 2r^2
C) h = 3r
D) h = 3r^2

Answer 1

The height of a can that satisfies the equation 2πr^3 = πr^2h is h = 2r, so the correct answer is A) h = 2r.

Step-by-step explanation:

To solve the equation provided in the question, 2πr3 = πr2h, for the height h of a can, we should start by isolating the height on one side of the equation. We can do this by dividing both sides of the equation by πr2, which gives us h = 2r. Therefore, the correct answer to this question is option A) h = 2r, which means that the possible value for the height of a can that satisfies the given equation is double the radius of the can.