Question

A sphere has a radius of 6 inches. What is the volume of the sphere in terms of π?

Answer 1

The volume of sphere in terms of $\pi$ is 288$\pi$ 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,

                                               $Volume, V =\frac{4}{3}\pi r^{3}$...........................(1)

                      where, r - radius of sphere

                      From given,

                                  r -  6 inches

                     Equation (1) becomes,

                                                               $= \frac{4}{3}\pi (6)^{3}$

                                                               = $\frac{4}{3} \pi(216)$            ( ∵ $6^{3}$ = 6×6×6 =216 )

                                                               =  $(1.3333)\pi (216)$

        ( The volume of the sphere in terms of π, So keep the value of $\pi$ )

                                                               = 288$\pi$

                                                               = 288$\pi$ Cubic inches

                           Volume of sphere, V = 288$\pi$ Cubic inches

Result:

              The volume of sphere in terms of $\pi$ is 288$\pi$ cubic inches, if the sphere has a radius of 6 inches.

Answer 2

Answer:

288

Step-by-step explanation: