Question 1192243
The golf ball with a diameter of {{{43mm}}} is packed in a cube-shaped box. What percentage of the box volume is made up of a ball?

Step-by-step answer:

find the volume of a golf ball :

{{{D=43mm }}}

{{{r=D/2=43/2 =21.5mm }}}
 
{{{V[1]= (4/3)*pi*r^3}}}

 {{{V [1]= (4/3)*pi*(21.5mm )^3}}}

{{{V [1]=41629.7679mm^3 }}}

  
 find the volume of a cube-shaped box:

{{{a=D=43mm }}}
 
{{{V[2]=a^3}}}

{{{V[2]=(43mm)^3}}}

 {{{V[2]=79507mm^3}}}

  
 percentage:

{{{p=100( V[1]/V[2])}}}

{{{p=100(41629.7679mm^3/79507mm^3)}}}


​{{{p=100(0.5235987762083841)}}}
​
{{{p =52.36}}}%