What is the volume of this sphere with a radius of 9? options> (a)1024π m³ (b) 972π m³ (c)729π m³ (D)81π m³
Accepted Solution
A:
Answer: Volume of the sphere is [tex]972\pi\ cm^{3}[/tex] .Option (b) is correct .Step-by-step explanation:Formula [tex]Volume\ of\ a\ sphere = \frac{4}{3} \pi r^{3}[/tex]Where r is the radius of a circle .As givenSphere with a radius of 9 .r = 9m Putting all the values in the formula [tex]Volume\ of\ a\ sphere = \frac{4}{3} \pi\times 9\times 9\times 9[/tex][tex]Volume\ of\ a\ sphere = \frac{4\times 9\times 9\times 9}{3} \pi[/tex][tex]Volume\ of\ a\ sphere = \frac{2916}{3} \pi[/tex][tex]Volume\ of\ a\ sphere = 972\pi\ cm^{3}[/tex]Therefore the volume of the sphere is [tex]972\pi\ cm^{3}[/tex] .Option (b) is correct .