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.

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

Answers ( )

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    2022-01-14T15:17:47+00:00

    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

    Learn more about volume of cylinder at:

    • brainly.com/question/12497249
    • brainly.com/question/1522572

    #learnwithBrainly

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