Question

Please Answer!!!!

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.

Answer 1

First mug holds the most

Solution:

Given that,

You are choosing between two mugs

The volume of cylinder is given as:

`V = \pi r^2h`

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

`radius = (diameter)/(2)`

Therefore,

`r = (5.5)/(2)\\\\r = 2.75`

Also, h = 3 inches

Thus volume of cylinder is given as:

`V = \pi * 2.75^2 * 3\\\\V = 3.14 * 22.6875\\\\V = 71.23875 \approx 71.24`

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

`Radius = (4.5)/(2)\\\\r = 2.25`

h = 4 inches

Therefore,

`V = 3.14 * 2.25^2 * 4\\\\V = 3.14 * 20.25\\\\V = 63.585`

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