The radius of a sphere is 3 inches. Which represents the volume of the sphere?
A) 12π cubic inches
B) 36π cubic inches
C) 64π cubic inches
D) 81π cubic inches

Respuesta :

Hello! The volume of a sphere is 4/3πr³. The radius is 3. 3³ is 27. 27/1 * 4/3 is 108/3 or 36 in simplest form. When you do that, you're left with 36π. The answer is B: 36π cubic inches.

Answer: B) [tex]36\pi \text{cubic inches}[/tex]

Step-by-step explanation:

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

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

Given : The radius of the sphere = 3 inches

Then , the volume of the sphere will be :-

[tex]\text{Volume}=\dfrac{4}{3}\pi (3)^3\\\\\Rightarrow\ \text{Volume}=36\pi \text{ cubic inches}[/tex]

Hence, the volume of the sphere = [tex]36\pi \text{ cubic inches}[/tex]

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