Respuesta :
The volume of sphere in terms of [tex]\pi[/tex] is 288[tex]\pi[/tex] cubic inches, if the sphere has a radius of 6 inches.
Step-by-step explanation:
The given is,
A sphere has a radius of 6 inches
Step:1
Formula for volume of sphere is,
[tex]Volume, V =\frac{4}{3}\pi r^{3}[/tex]...........................(1)
where, r - radius of sphere
From given,
r - 6 inches
Equation (1) becomes,
[tex]= \frac{4}{3}\pi (6)^{3}[/tex]
= [tex]\frac{4}{3} \pi(216)[/tex] ( ∵ [tex]6^{3}[/tex] = 6×6×6 =216 )
= [tex](1.3333)\pi (216)[/tex]
( The volume of the sphere in terms of π, So keep the value of [tex]\pi[/tex] )
= 288[tex]\pi[/tex]
= 288[tex]\pi[/tex] Cubic inches
Volume of sphere, V = 288[tex]\pi[/tex] Cubic inches
Result:
The volume of sphere in terms of [tex]\pi[/tex] is 288[tex]\pi[/tex] cubic inches, if the sphere has a radius of 6 inches.
