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 inc

Question

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.

in progress 0
1 week 2022-01-14T15:15:59+00:00 1 Answer 0 views 0

1. Mug 2 can hold the most as its volume is  greater than that of mug 1

Step-by-step explanation:

To find out which mug holds more let us find the volume of each mug

As we know

Height of first mug =H1= 3 in

Diameter of first mug= D1= 5.5 in

Radius of first mug = R1= = 2.75 in

The volume of first mug M1 is V1

The formula used will be

V=πr2h

V1 will be equal to V1 = 51.81

Similarly

As we know

Height of second mug = H2= 4 in

Diameter of second mug = D2 = 4.5 in

Radius of second mug = R2= = 2.25 in

The volume of second mug M2 is V2

the formula used will be

V=πr2h

V2 will be equal to V2 = 56.52

So as V2(56.52) is greater than V1(51.81) so mug 2 can hold the most

Keywords: volume of cylinder