Answer:
D
Step-by-step explanation:
The volume (V) of a sphere is calculated as
V = [tex]\frac{4}{3}[/tex]πr³ ( r is the radius ), thus
V = [tex]\frac{4}{3}[/tex]π × 5³
= [tex]\frac{4}{3}[/tex]π × 125 = [tex]\frac{4(125)}{3}[/tex]π = [tex]\frac{500}{3}[/tex]π units³ → D
The volume of the sphere of the given figure is [tex]\frac{500}{3} \pi units^{3}[/tex] .Option D is correct.
It is given that the radius(r) of the sphere is 5 unit.
It is required to find the volume of the sphere of the given figure.
As we know the volume of the sphere is:
V = [tex]\frac{4}{3} \pi r^{3}[/tex]
Where, r represents the radius of the sphere.
Now putting the value of 'r' in the formula,
V = [tex]\frac{4}{3}\pi (5)^{3}[/tex]
V = [tex]\frac{4}{3} \pi[/tex]×(125)
V = [tex]\frac{4 (125)}{3}\pi[/tex]
V = [tex]\frac{500}{3} \pi[/tex] [tex]unit^{3}[/tex]
Thus, the volume of the sphere of the given figure is [tex]\frac{500}{3} \pi units^{3}[/tex] .
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