Answered

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.

Verified Answer :

iGreen

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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