Andre, a physics undergraduate, enters a coffee shop that is holding a contest. Customers who guess the number of coffee beans inside of a closed, 16.0 fl oz aluminum commuter mug get a free pastry and an espresso drink. Motivated by the prospect of free food and coffee, Andre puts his finely‑tuned estimation skills to work. Andre assumes that a typical coffee bean is about 1 cm long. Based on that assumption, what should Andre submit as his estimate for the number of coffee beans in the mug?

Question

30-01-2020
Chemistry

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Andre, a physics undergraduate, enters a coffee shop that is holding a contest. Customers who guess the number of coffee beans inside of a closed, 16.0 fl oz aluminum commuter mug get a free pastry and an espresso drink. Motivated by the prospect of free food and coffee, Andre puts his finely‑tuned estimation skills to work. Andre assumes that a typical coffee bean is about 1 cm long. Based on that assumption, what should Andre submit as his estimate for the number of coffee beans in the mug?

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akachimichael akachimichael · Answer 1 · 2020-01-30T11:59:23+01:00

Answer: 8 coffee beans

Explanation: this calculation can only be achieved if you are good

With your conversation table.

16fl oz is the same as 16 US fluid ounce. The question is to determine how many centimeter can be equall to 16fl oz.

Stage 1:

Convert 16 US fluid to milliliter

1 US fluid = 29.574mililiter.

Therefore (16fl oz × 29.574ml)÷ 1fl oz= 473.184ml

Stage 2:

Convert milliliter to cubic centimeter

1 milliliter = 1 cubic centimeter

Therefore 473.184ml= 473.184cc

Stage 3:

Convert cubic centimeter to centimeter

1 Cubic centimeter is the volume 1 centimeter of a length side occupies

Volume= the length of the three sides of a shape.

Therefore

Volume= lenght^3

Making length the subject of the formula it becomes

Length =Cube root of volume

Length= 3√volume

Therefore

Length = 3√473.184= 7.793cm

Approximately 8cm

This means the mug is 8cm in length

Stage 4:

Since Andre assumption is that coffee Bean is about 1cm and from the calculation the mug is 8cm, which means about eight coffee Beans will fill the flask.

Andre should submit 8 coffee beans