You are choosing between two mugs. One has a base that is 5.5 inches in diameter and a height of 3 inches. The other has a base of 4.5 inches in diameter and a height of 4 inches. You want the one that holds the most! Which should you choose. Include the formulas and correct units of measure that you found when solving the problem.

First mug holds the most

Solution:

Given that,

You are choosing between two mugs

The volume of cylinder is given as:

Where,

r is the radius and h is the height

One has a base that is 5.5 inches in diameter and a height of 3 inches

Therefore,

Also, h = 3 inches

Thus volume of cylinder is given as:

Thus first mug holds 71.24 cubic inches

The other has a base of 4.5 inches in diameter and a height of 4 inches

h = 4 inches

Therefore,

Thus the second mug holds 63.585 cubic inches

On comparing, volume of both mugs,

Volume of first mug > volume of second mug

First mug holds the most

let m = monomial

let t = trinomial

so, m times t = t.

monomial times a trinomial = another trinomial.