Question

how many balls with a diameter of 6 cm each can a square box hold if the box has a measure of 36 cm on each side

Answer 1

Answer:412 balls

Step-by-step explanation:

Let number of balls = n

Vol. of one ball=4/3πr^3

=4/3*22/7*3*3*3

=(36*22)/7 cm cube

Vol. of n balls={(36*22)/7}n

Volume of box=36^3

=46656cm cube

n=46656/(36*22)/7

=412.36

=412 balls

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Answer 2

412 balls with a diameter of 6 cm each can a square box hold if the box has a measure of 36 cm on each side

Step-by-step explanation:

Diameter of spherical ball = 6 cm

Radius of spherical ball = $\frac{6}{2}=3 cm$

Volume of spherical ball =$\frac{4}{3} \pi r^3 = \frac{4}{3} \times 3.14 \times 3^3$

Side of box = 36 cm

Volume of box =$Side^3 = 36^3=46656 cm^3$

No. of balls can box hold =$\frac{46656}{113.04}=412.73$

So, 412 balls with a diameter of 6 cm each can a square box hold if the box has a measure of 36 cm on each side

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