# 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. _
You can still ask an expert for help

• Questions are typically answered in as fast as 30 minutes

Solve your problem for the price of one coffee

• Math expert for every subject
• Pay only if we can solve it

i1ziZ

The volume of soccer ball is
${V}_{\left(soccer\right)}=4/3\pi {r}^{3}$
diameter of ball s 1.1 times therefore the volume of the basketball is
${V}_{\left(basketball\right)}=4/3\ast \pi \ast \left(1.1r{\right)}^{3}$
${V}_{\left(basketball\right)}=4/3\ast \pi \ast 1.331\ast {r}^{3}$
${V}_{\left(basketball\right)}=1.331{V}_{\left(soccer\right)}$
since the diameter of tennis ball is about 0.3 times that of a scoccer ball it's radius is also 0.3 times
${V}_{\left(tennis\right)}=4/3\ast \pi \ast \left(0.3r{\right)}^{3}$
${V}_{\left(tennis\right)}=4/3\ast \pi \ast 0.027\ast {r}^{3}$
${V}_{\left(tennis\right)}={0.027}_{\left(soccer\right)}$