Expert Answer to "The diameter of a basketball is about 1.1..."

Ava-May Nelson

Answered question

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. _

Answer & Explanation

i1ziZ

Skilled2021-02-28Added 92 answers

The volume of soccer ball is
$V_{(s o c c e r)} = 4 / 3 π r^{3}$
diameter of ball s 1.1 times therefore the volume of the basketball is
$V_{(b a s k e t b a l l)} = 4 / 3 * π * (1.1 r)^{3}$
$V_{(b a s k e t b a l l)} = 4 / 3 * π * 1.331 * r^{3}$
$V_{(b a s k e t b a l l)} = 1.331 V_{(s o c c e r)}$
since the diameter of tennis ball is about 0.3 times that of a scoccer ball it's radius is also 0.3 times
$V_{(t e n n i s)} = 4 / 3 * π * (0.3 r)^{3}$
$V_{(t e n n i s)} = 4 / 3 * π * 0.027 * r^{3}$
$V_{(t e n n i s)} = {0.027}_{(s o c c e r)}$

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