Question

Radius of a sphere is 2d/3, then find its volume in terms of π.

Answer 1

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volume of sphere=4/3 pi r3
                          =4 x TT x 2d/3 x 2d/3 x 2d/3 
                           3
                         =32d3 TT
                           81

Answer 2

Answer:

volume of the sphere is $\frac{32d^{3} }{81} \pi$ $cm^{3}$

Step-by-step explanation:

Given that radius of a sphere is $\frac{2d}{3}$ cm

volume of the  = $\frac{4}{3} \pi r^{3 }$  here r is radius of the sphere

from given data volume of sphere =  $\frac{4}{3} \pi$ $( \frac{2d}{3} )^{3}$

                                                         = $\frac{4}{3}$ × $(\frac{2d}{3}) ( \frac{2d}{3}) ( \frac{2d}{3} )$ $\pi$

                                                         = $\frac{32 d^{3} }{81} \pi$ $cm^{3}$

volume of the sphere in terms of $\pi$ =    $\frac{32d^{3} }{81} \pi$ $cm^{3}$