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sergey [27]
3 years ago
7

A cylindrical can containing pieces of fruit is filled to the top with syrup before being sealed. The base of the can has an are

a of 75 cm2, and the height of the can is 10cm. If 110 cm3 of syrup is needed to fill the can to the top, what is the total volume of the pieces of fruit in the can?
Mathematics
2 answers:
LekaFEV [45]3 years ago
8 0

Answer:

The total volume of the pieces of fruit in the can is 640\ cm^{3}

Step-by-step explanation:

step 1

Find the volume of the cylindrical can

The volume of the can  is equal to

V=BH

where

B is the area of the base of the can

H is the height of the can

we have

B=75\ cm^{2}

H=10\ cm

substitute

V=(75)(10)=750\ cm^{3}

step 2

Find the volume of the pieces of fruit in the can

The volume of the pieces of fruit in the can is equal to subtract  the volume of syrup from the volume of the can

750\ cm^{3}-110\ cm^{3}=640\ cm^{3}

Masteriza [31]3 years ago
4 0

Answer:

I think the answer is "C"

Step-by-step explanation:

640 cm3

V = base × height

V = 75 cm2 × 10 cm

V = 750 cm3

Vfruit = Vtotal − Vsyrup

Vfruit = 750 cm3 − 110 cm3 = 640 cm3

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An ice cream shop is testing some new flavors of ice cream. They invent 252525 new flavors for customers to try, and throw out t
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Answer:

Total <u>480 liters</u> of ice cream is in the cartons.

Step-by-step explanation:

Given:

An ice cream shop is testing some new flavors of ice cream. They invent 25 new flavors for customers to try, and throw out the 13 least popular flavors. The shop makes 80 cartons of each of the remaining flavors. It takes 2 cartons to get one liter of ice cream.

Now, to find the total ice cream in the cartons.

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So, to get the remaining ice cream we subtract quantity of flavors ice cream shop throw out from the quantity of flavors ice cream shop invent:

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Thus, the remaining flavors = 12.

<em>According to question, the shop makes 80 cartons of each of the remaining flavors. And it takes 2 cartons to get one liter of ice cream.</em>

So, we get the unit rate of liter per carton:

If, 2 cartons contain 1 liter.

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<u><em>Total quantity of ice cream per carton = 0.5 liter</em></u>

<u><em>Total number of cartons = 80.</em></u>

<u><em>Total flavors of ice cream = 12.</em></u>

Now, to get the total ice cream in the cartons we multiply total quantity of ice cream per carton by total number of cartons by total flavors of ice cream:

0.5\times 80\times 12\\\\=480\ liters.

Therefore, total 480 liters of ice cream is in the cartons.

7 0
3 years ago
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