Respuesta :
Given that:
- diameter= 6 cm
To find:
- The volume of the given sphere when π is equal to 3.
Solution:
- A sphere is a 3 dimensional solid with a curved surface.
First, we'll have to find the radius.
- Radius is half of the diameter.
[tex]\large\boxed{\bold{r= \frac{d}{2}}}[/tex]
[tex]r= \frac {6}{2}[/tex]
[tex]r= 3 \ cm[/tex]
Now, we can workout the volume.
Instead of π, we are asked to use 3.
[tex]\large\boxed{\bold{\red \pi \red = \ \red 3}}[/tex]
[tex]\large\boxed{\bold{V= \ \frac{4}{3} \pi {r}^{3}}}[/tex]
Now, substitute the values according to the formula.
[tex]V= \ \frac{4}{3} × 3 × {3}^{3}[/tex]
[tex]\large\boxed{\bold{V= \ 108 \ {cm}^{3}}}[/tex]
The answer is a whole number so you won't have to round off.
Therefore, the volume of the given sphere is 108 cubic centimeters.
