Respuesta :
The volume of the ball is 636.38 cm^3. Option C shows the correct volume of the ball.
What is the volume of the sphere?
The volume of the sphere is defined as the amount of space occupied within the sphere. It is a space occupied by a three-dimensional object.
Given that the thickness of the ball is 2 cm and the outer radius r2 of the ball is 6 cm. The inner radius r1 of the ball is the difference between the outer surface and the thickness of the material.
r1 = 6-2
r1 = 4cm
The volume of the sphere ball is given as,
[tex]V = \dfrac {4}{3}\pi r^3[/tex]
For the inner radius, the volume is given as,
[tex]V_1 = \dfrac {4}{3}\times 3.14\times (4)^3[/tex]
[tex]V_1 = 267.94 \;\rm cm^3[/tex]
For the outer radius, the volume is given as,
[tex]V_2= \dfrac {4}{3}\times 3.14\times (6)^3[/tex]
[tex]V_2 = 904.32\;\rm cm^3[/tex]
The final volume of the ball is the difference between the volume of the inner and outer surface.
[tex]V = V_2 - V_1[/tex]
[tex]V = 904.32- 267.94[/tex]
[tex]V = 636.38 \;\rm cm^3[/tex]
Hence we can conclude that the volume of the ball is 636.38 cm^3. Option C shows the correct volume of the ball.
To know more about the volume, follow the link given below.
https://brainly.com/question/1578538.
