A few students conducted a study on how many peanuts it would take to completely fill a jar. They had the following data to help them with t

Question

A few students conducted a study on how many peanuts it would take to completely fill a jar. They had the following data to help them with the study: In a container with a volume of 108 they could fit 65 peanuts. In a container with a volume of 150 they could fit 90 peanuts. The height of the jar for the peanuts is 16 cm and the radius is 3.5 cm. What number would be a good estimate for the number of peanuts in a jar this size?

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Sapo 6 months 2021-07-30T12:56:10+00:00 1 Answers 0 views 0

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    2021-07-30T12:57:58+00:00

    Answer:

    370 peanuts

    Step-by-step explanation:

    65/108 = 0.60185

    90/150 = 0.6000

    In each case, the number of peanuts is either exactly or very close to 60% of the volume.

    A cylinder with radius 3.5 cm and height 16 cm has volume:

    V = (pi)r^2h

    V = (3.14159)(3.5 cm)^2(16 cm)

    V = 615.752 cm^3

    We take 60% of the volume to estimate the number of peanuts.

    60% * 615.752 cm^3 = 369.451

    Answer: 370 peanuts

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