What is the volume of a sphere with a diameter of 12 inches? Use 3.14 for pi. Round your answer to the nearest hundredth. 904.32 in3 1599.65 in3 3500.12 in3 7238.20 in3

Respuesta :

Mehek
Formula = 4/3*π*r^2

4/3 * 3.14 * 6^2

V = 904.32 in^3

Answer: [tex]904.32\text{ in.}^3[/tex]

Step-by-step explanation:

We know that the formula to calculate the volume of sphere is given by :-

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

Given : The diameter of the sphere = 12 inches

The radius of the sphere = [tex]\dfrac{12}{2}=6\text{ inches}[/tex]

[tex]V=\dfrac{4}{3}(3.14) (6)^3\\\\\Rightarrow\ V=904.32\text{ in.}^3[/tex]

Hence, the volume of the sphere = [tex]904.32\text{ in.}^3[/tex]