Question

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

Answer 1

$\bf \textit{volume of a sphere}\\\\ V=\cfrac{4\pi r^3}{3}\quad \begin{cases} r=radius\\ -----\\ r=9 \end{cases}\implies V=\cfrac{4\pi \cdot 9^3}{3}$

Answer 2

Answer:

Volume of the sphere is $972\pi\ cm^{3}$ .

Option (b) is correct .

Step-by-step explanation:

Formula

$Volume\ of\ a\ sphere = \frac{4}{3} \pi r^{3}$

Where r is the radius of a circle .

As given

Sphere with a radius of 9 .

r = 9m

Putting all the values in the formula

$Volume\ of\ a\ sphere = \frac{4}{3} \pi\times 9\times 9\times 9$

$Volume\ of\ a\ sphere = \frac{4\times 9\times 9\times 9}{3} \pi$

$Volume\ of\ a\ sphere = \frac{2916}{3} \pi$

$Volume\ of\ a\ sphere = 972\pi\ cm^{3}$

Therefore the volume of the sphere is $972\pi\ cm^{3}$ .

Option (b) is correct .