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7 October, 10:54

A cylindrical pillow has a diameter of 30 cm and a height of 40 cm. It is 80% filled with spherical foam pellets, each with a radius of 3 cm.

Approximately how many pellets are in the pillow?

Use 3.14 to approximate pi and express your answer to the nearest whole number.

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  1. 7 October, 11:01
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    Find the volume.

    V = pi * r^2 * h

    V = 3.14 * 15^2 * 40

    V = 3.14 * 225 * 40

    V = 28260

    Find 80%:

    0.8 * 28260 = 22608

    Find the volume of the spherical foam pellets:

    V = 4/3 * pi * r^3

    V = 4/3 * 3.14 * 3^3

    V = 4/3 * 3.14 * 27

    V = 113.04

    Now divide this to 80%:

    22608 / 113.04 = 200

    So there are 200 pellets.
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