Answer:
The volume of sphere is 1436.03 inches³.
Step-by-step explanation:
Given:
The radius of sphere = 7 inches.
Now, to find the volume.
So, to get the volume we put the formula:
[tex]Volume=\frac{4}{3} \pi r^3[/tex]
Taking the value of π = 3.14
[tex]Volume=\frac{4}{3}\times 3.14\times {7}^3[/tex]
[tex]Volume=\frac{4}{3}\times 3.14\times 343[/tex]
[tex]Volume=\frac{4}{3}\times 1077.02[/tex]
[tex]Volume=\frac{4308.08}{3}[/tex]
[tex]Volume=1436.03\ inches^3[/tex]
Therefore, the volume of sphere is 1436.03 inches³.
Step-by-step explanation: To find the volume of the sphere, start with the formula for the volume of a sphere.
Volume = [tex]\frac{4}{3} \pi r^{3}[/tex]
Notice that our sphere has a radius of 7 inches so plugging into the formula, we have [tex](\frac{4}{3})(\pi)(7 in.)^{3}[/tex].
Start by simplifying the exponent. (7 in.)³ is equal to 7 inches x 7 inches x 7 inches or 343 in³ so we have [tex](\frac{4}{3}) (343 in.^{3})(\pi)[/tex].
Next, 4 x 343 is 1,372 which gives us [tex]\frac{1,372\pi }{3}[/tex]. Notice that 1,372 doesn't divide by 3 so this is our final answer for the volume of the sphere.
