Respuesta :
Answer: 288pi in3
Step-by-step explanation:
Volume of a sphere= 4/3pir^3
R=6inches
V=4/3pir^3
V=4/3pi(6^3)
V=4/3pi(216)
V=864pi/3
V=288pi in^3
Volume is the measure of three dimensional space. The volume of the sphere of radius 6 inches in terms of π is 288π in³
What is the volume of sphere?
If the given sphere is of radius r units, then its volume is given as:
[tex]V= \dfrac{4}{3} \pi r^3 \: \rm unit^3[/tex]
We're specified that:
Radius of the considered sphere = r = 6 inches
Thus, we get its volume V as:
[tex]V= \dfrac{4}{3} \pi r^3 = \dfrac{4}{3} \times \pi \times (6)^3 = 4\times36 \times 2 \times \pi\: \rm in^3\\\\V = 288\pi \: \rm in^3[/tex]
Thus, the volume of the sphere of radius 6 inches in terms of π is 288π in³.
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