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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

Respuesta :

devishri1977

Answer:

Step-by-step 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 = [tex]\frac{4}{3}*\pi *r^{3}[/tex]

                                     [tex]= \frac{4}{3}*3.14*5*5*5\\\\= 523.81 cm^{3}[/tex]

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