Question

The radius of the fruit is 3 times the radius of the seed. It is known that the seed has a volume of 100 cubic centimeters. What is the volume of edible fruit rounded to the nearest cubic centimeter?

Answer 1

2600 cubic centimeters

Explanation:

Answer 2

the edible fruit=fruit-seed

alright

vsphere=4/3pir^3

so if the volume is 100
of the seed

`100=(4)/(3)\pi r^3`
find r
times both sides by 3/4

`75=\pi r^3`
divide both sides by pi

`(75)/(\pi)= r^3`
cube root both sides

`\sqrt[3]{(75)/(\pi)}= r`
this is the seed radius
3 times of taht is the radius of the fruit

`3\sqrt[3]{(75)/(\pi)}`=radiusfruit

input into equation
use radius fruit for r

`V=(4)/(3)\pi r^3`

`V=(4)/(3)\pi (3\sqrt[3]{(75)/(\pi)})^3`

`V=(4)/(3)\pi (27)((75)/(\pi))`

`V=(8100\pi)/(3\pi)`

`V=2700 cm^3`

so the edible part is 2700-100=2600 cm³