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

Question

3 years ago

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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.

Mathematics

1 answer:

zysi [14] · Answer 1 · 2021-11-24T08:04:00+03:00

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= $\frac{5.5}{2}$

= 2.75 in

The volume of first mug M1 is V1

The formula used will be

V=πr2h

V1 will be equal to

$V1=\pi r_{1} 2 h_{1} \\V1= \pi (2.75) (2) (3)\\V1= 51.81$

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= $\frac{4.5}{2}$

= 2.25 in

The volume of second mug M2 is V2

the formula used will be

V=πr2h

V2 will be equal to

$V2= \pi r_{2} 2h_{2} \\V2 = \pi (2.25)(2)(4)\\V2 = 56.52$

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

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