Question

What is the volume of the Sphere below?

Answer 1

`\bf \textit{volume of a sphere}\\\\ V=\cfrac{4\pi r^3}{3}\quad \begin{cases} r=radius\\ -----\\ r=3 \end{cases}\implies V=\cfrac{4\pi 3^3}{3}\implies V=36\pi`

Answer 2

ANSWER

The volume of the given sphere is


`36 \pi \: units \: {}^(3)`

Step-by-step explanation

The volume of a sphere is calculated using the formula,


`Volume= (4)/(3) \pi \: {r}^(3)`


Where

`r = 3 \: \: units \:`
is the radius of the sphere.



We substitute this value into the formula to obtain,



`Volume= (4)/(3) \pi \: {3}^(3)`


This simplifies to,


`Volume= 4 \pi * {3}^(2)`


This will give us,


`Volume= 4 \pi * 9`


We finally multiply out to obtain,


`Volume= 36\pi \: units \: {}^(3)`

The correct answer is therefore B.