# The diameter of a basketball is about 1.1 times that of a soccer ball. The diameter of a tennis ball is about 0.3 times that of a soccer ball. How do the volumes of these balls compare to that of a soccer ball? Explain. _

Question
Solid Geometry
The diameter of a basketball is about 1.1 times that of a soccer ball. The diameter of a tennis ball is about 0.3 times that of a soccer ball. How do the volumes of these balls compare to that of a soccer ball? Explain. _

2021-02-28
The volume of soccer ball is
$$V_(soc cer)=4/3pir^3$$
diameter of ball s 1.1 times therefore the volume of the basketball is
$$V_(basketball)=4/3*pi*(1.1r)^3$$
$$V_(basketball)=4/3*pi*1.331*r^3$$
$$V_(basketball)=1.331V_(soc cer)$$
since the diameter of tennis ball is about 0.3 times that of a scoccer ball it's radius is also 0.3 times
$$V_(ten nis)=4/3*pi*(0.3r)^3$$
$$V_(ten nis)=4/3*pi*0.027*r^3$$
$$V_(ten nis)=0.027_(soc cer)$$

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