The volume of the cone is 452.16 cubic mm if the cone has the same height and a circular base with the same diameter option (B) is correct.
It is defined as three-dimensional geometry when half-circle two-dimensional geometry is revolved around the diameter of the sphere that will form.
[tex]\rm V = \dfrac{4}{3} \pi r^3[/tex]
We have the volume of the sphere = 904.32 cubic mm
[tex]\rm 904.32 = \dfrac{4}{3} \pi r^3[/tex]
After solving:
r = 5.99 ≈ 6 mm
Diameter of the sphere = height of the cone = 2(6) = 12 mm
Volume of the cone:
[tex]\rm v=\pi r^2\dfrac{h}{3}[/tex]
[tex]\rm v=\pi (6)^2\dfrac{12}{3}[/tex]
Take π = 3.14
After calculating:
v = 452.16 cubic mm
Thus, the volume of the cone is 452.16 cubic mm if the cone has the same height and a circular base with the same diameter option (B) is correct.
Learn more about the sphere here:
brainly.com/question/11374994
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