Question

a certain spherical ball of diameter 4 cm has a mass of 8 kg.Find tge mass of a spherical shell of the same material whose outer and inner diameters are 10 cm and 8cm respectively

Answer 1

Answer:

61 kg

Step-by-step explanation:

a certain spherical ball of diameter 4 cm has a mass of 8 kg

Volume of Spherical Ball = (4/3) π R³

R = Radius = Diameter/2 = 4/2  = 2 cm

Volume of Spherical Ball = (4/3) π 2³   = 32π/3  cm³

Density = Mass/ Volume   =  8 /(32π/3)  kg / cm³

= 3/4π kg / cm³

Volume of spherical shell whose outer and inner diameters are 10 cm and 8cm  => radius are 5 cm & 4cm

= (4/3)π5³  - (4/3)π4³

=  (4/3)π ( 125 - 64)

= (4/3)π * 61 cm³

Mass = density * volume

= (3/4π)  * (4/3)π  * 61

= 61 kg

mass of a spherical shell of the same material whose outer and inner diameters are 10 cm and 8cm respectively will be 61 kg

Answer 2

Step-by-step explanation:

hope it will help you bro ☺️