# A cylindrical tennis ball container contains three balls stacked on one another, such that they touch thewall of the container. The top and bottom balls also touch the lid and the base of thecontainer respectively. If the volume of a tennis ball is 160 cm3, then what is the volume of the container?

The volume of a tennis ball $= 160 cm^{3}$

We know that the volume of the sphere$=\frac{4}{3} \pi r^{3}$

$160 = \frac{4}{3} \times \frac{22}{7} \times r^{3} \\ r^{3} = \frac{160\times 3 \times 7}{ 4 \times 22}\\ r^{3} = \frac{400}{11} \\ r = 3.36\\ d =6.72$

The diameter of the tennis ball  $d =6.72$

The height of the cylinder $h= 3 \times 6.72 = 20.16cm$

The volume of the cylinder

$V =\pi r^{2} h \\ V = \frac{22}{7} \times (3.16)^{2} \times 20.16 \\ V = 715.30 cm^{3}$

Therefore, the volume of the container $V = 715.30 cm^{3}$

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