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.

see the explanation

Step-by-step explanation:

we know that

The volume of a cylinder (a mug) is equal to

where

r is the radius of the base

h is the height

step 1

Find the volume of the one mug

we have

---> the radius is half the diameter

substitute

step 2

Find the volume of the second mug

we have

---> the radius is half the diameter

substitute

step 3

Compare the volumes

therefore

The mug with the greatest volume is the one that holds the most

step-by-step explanation:

to find if any function is an inverse of the other, put the first equation in as x in the next one. then simplify and solve. if at the end you get the statement y = x, then it is an inverse. if you get anything else, it is not.