Fernanda is filling a cylindrical pot with cans of vegetable soup. The pot has a diameter of 15 in. and a height of 11 in. The soup can has

Question

Fernanda is filling a cylindrical pot with cans of vegetable soup. The pot has a diameter of 15 in. and a height of 11 in. The soup can has a diameter of 3 in. and a height of 6 in. How many cans of soup will it take to fill the pot? Round to the nearest can.

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niczorrrr 3 years 2021-08-25T05:44:43+00:00 1 Answers 15 views 0

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  1. haidang
    0
    2021-08-25T05:46:03+00:00
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    Answer:

    45 cans

    Step-by-step explanation:

    To find the volume of a cylinder, we need to find the area of the cross section, which in this case is π(radius)², and multiply it with the height of the cylinder

    This means the pot has a volume of:

    – pot has radius of 7.5in. as diameter is 2 x radius

    π x (15/2)² x 11 = 618.75π in.³

    The soup can has a volume of:

    – soup can has radius of 1.5in. as diameter is 2 x radius

    π x (3/2))² x 6 = 13.5π in.³

    Divide the volume of the pot by the volume of the can to get how many cans of soup will it take to fill the pot:

    618.75π in.³ ÷ 13.5π in.³ = 45.833… cans

    The question states you need to round to nearest can which would be 45 cans, but personally, I thought you would always round up as 45 cans won’t fill up the whole pot, but it’s up to the question.

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