Question

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. _

Solid Geometry
ANSWERED
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
\(V_{(soccer)}=4/3\pi r^3\)
diameter of ball s 1.1 times therefore the volume of the basketball is
\(V_{(basketball)}=4/3*\pi*(1.1r)^3\)
\(V_{(basketball)}=4/3*\pi*1.331*r^3\)
\(V_{(basketball)}=1.331V_{(soccer)}\)
since the diameter of tennis ball is about 0.3 times that of a scoccer ball it's radius is also 0.3 times
\(V_{(tennis)}=4/3*\pi*(0.3r)^3\)
\(V_{(tennis)}=4/3*\pi*0.027*r^3\)
\(V_{(tennis)}=0.027_{(soccer)}\)

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