jcorley0534
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A sphere has a diameter of 22 units. What are its radius and volume?




A.The radius is 11 units, and the volume is 4,179.34 cubic units.



B.The radius is 44 units, and the volume 356,637 cubic units.



C.The radius is 44 units, and the volume is 267,477.76 cubic units.



D.lThe radius is 11 units, and the volume is 5,572.45 cubic units.

Respuesta :

Kodey1955
its a or d because the radius is half the diameter
JeanaShupp

Answer: D. The radius is 11 units, and the volume is 5,572.45 cubic units.

Step-by-step explanation:

Given: The diameter of sphere (d)= 22 units

Then the radius of the sphere is given by :-

[tex]r=\dfrac{d}{2}\\\\\Rightarrow\ r=\dfrac{22}{2}\\\\\Rightarrow\ r=11\text{ units}[/tex]

We know that the volume of a sphere is given by :-

[tex]V=\dfrac{4}{3}\pi r^3[/tex], where r is the radius of sphere.

[tex]\Rightarrow\ V=\dfrac{4}{3}(3.14) (11)^3=5572.45333333\approx5572.45\text{ cubic units][/tex]

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