Find the volume of a cube that will hold sixty-four 4.19 in3 toy bouncy balls. (round to nearest whole number)

Question

asked Sep 8, 2018 82.7k views

2 Answers

Real Noob · Answer 1 · 2018-09-13T05:23:23+0000

we know that

The volume of the ball (sphere) is equal to

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

In this problem we have

$V=4.19\ in^(3)$

Find the radius of the sphere

$r=\sqrt[3]{(3V)/(4\pi)}$

Substitute the value of V

$r=\sqrt[3]{(3*4.19)/(4\pi)}=1\ in$

for the calculation of the total volume I will assume that each ball is a cube

The volume of each ball is

V=b^(3)

where

b is the diameter of the ball

$b=1*2=2\ in$

Substitute

$V=2^(3)=8\ in^(3)$ ------> volume of each ball in the shape of cube

so

Multiply by

$64*8=512\ in^(3)$

therefore

the answer is

$512\ in^(3)$