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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