the edible fruit=fruit-seed
alright
vsphere=4/3pir^3
so if the volume is 100
of the seed
[tex]100=\frac{4}{3}\pi r^3[/tex]
find r
times both sides by 3/4
[tex]75=\pi r^3[/tex]
divide both sides by pi
[tex]\frac{75}{\pi}= r^3[/tex]
cube root both sides
[tex]\sqrt[3]{\frac{75}{\pi}}= r[/tex]
this is the seed radius
3 times of taht is the radius of the fruit
[tex]3\sqrt[3]{\frac{75}{\pi}}[/tex]=radiusfruit
input into equation
use radius fruit for r
[tex]V=\frac{4}{3}\pi r^3[/tex]
[tex]V=\frac{4}{3}\pi (3\sqrt[3]{\frac{75}{\pi}})^3[/tex]
[tex]V=\frac{4}{3}\pi (27)(\frac{75}{\pi})[/tex]
[tex]V=\frac{8100\pi}{3\pi}[/tex]
[tex]V=2700 cm^3[/tex]
so the edible part is 2700-100=2600 cm³
