Question

A spherical bar of soap just fits inside its package, which is a cube with a side length of

10 cm.

1. Calculate the volume of the bar of soap.

2. Calculate the amount of empty space in the box.
Round your answers to 1 decimal place.

i need help asap

Answer 1

Explanation:

1) Diameter of the bar of soap = length of the side of the cube = 10 cm

radius = r = 10/2 = 5 cm

Volume of bar of soap =
`(4)/(3)*\pi *r^(3)`

`= (4)/(3)*3.14*5*5*5\\\\= 523.81 cm^(3)`

2) Volume of cube package = a³ = 10 * 10 * 10 = 1000 cm³

Amount of empty space = Volume of cube -volume of bar soap

= 1000 - 523.81

= 476.19

= 476.2 cm³