The volume of the sphere is 523.3 cm³ if the diameter of the sphere is 10 cm option (B) is correct.
What is a sphere?
It is defined as three-dimensional geometry when half-circle two-dimensional geometry is revolved around the diameter of the sphere that will form.
We have the diameter of the sphere shown in the picture,
Let's denote the diameter of the sphere as D then,
D = 10 cm
the radius r will be half the diameter.
r = 10/2 ⇒5 cm
The formula for finding the volume of the sphere is given:
[tex]\rm V = \frac{4}{3} \pi r^3\\\\\rm V = \frac{4}{3} \pi 5^3[/tex] (r = 5 cm)
[tex]\rm V =\frac{4}{3} \pi 75[/tex]
V = 166.66π
V = 166.66×3.14 (π = 3.14)
V = 523.31 cm³
Thus, the volume of the sphere is 523.3 cm³ if the diameter of the sphere is 10 cm option (B) is correct.
Learn more about the sphere here:
brainly.com/question/11374994
