a cylindrical can containing pieces of fruit is filled to the top with syrup before being sealed. the base of the can has an area of 75 \text{ cm}^275 cm 2 75, start text, space, c, m, end text, squared, and the height of the can is 10 \text{ cm}10 cm10, start text, space, c, m, end text. if 110 \text{ cm}^3110 cm 3 110, start text, space, c, m, end text, cubed of syrup is needed to fill the can to the top, which of the following is closest to the total volume of the pieces of fruit in the can?

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30-11-2022
Mathematics

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a cylindrical can containing pieces of fruit is filled to the top with syrup before being sealed. the base of the can has an area of 75 \text{ cm}^275 cm 2 75, start text, space, c, m, end text, squared, and the height of the can is 10 \text{ cm}10 cm10, start text, space, c, m, end text. if 110 \text{ cm}^3110 cm 3 110, start text, space, c, m, end text, cubed of syrup is needed to fill the can to the top, which of the following is closest to the total volume of the pieces of fruit in the can?

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rafikiedu08 rafikiedu08 · Answer 1 · 2022-12-03T18:30:44+01:00

The total volume of the fruits is 640 when Syrup is poured over fruit pieces in a cylindrical can and then the lid is closed. The can's height is 10 cm, and its base has a surface area of 75 cm².

Given that,

Syrup is poured over fruit pieces in a cylindrical can and then the lid is closed. The can's height is 10 cm, and its base has a surface area of 75 cm².

We have to find which of the following comes closest to the total volume of the fruit pieces in the can if 110 cm³ of syrup is required to fill the can completely.

We know that,

Total volume of the cylinder can is equal to the sum of the total volume of fruits and total volume of Syrup.

So,

The total volume of the fruits is we have to find take x

The total volume of the cylinder is base× height=75×10

The total volume of the syrup is 110

So,

75×10=x+110

x=750-110

x=640

Therefore, The total volume of the fruits is 640 when Syrup is poured over fruit pieces in a cylindrical can and then the lid is closed. The can's height is 10 cm, and its base has a surface area of 75 cm².

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