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. _

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
asked 2021-02-27
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. _

Answers (1)

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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