Given:
Note that:
To find:
- The volume of the sphere to the nearest hundredth.
Solution:
- A sphere is a 3D shape with two dimensional circle.
[tex]\large\boxed{\bold{Formula:V= \frac{4}{3}\pi{r}^{3}}}[/tex]
[tex]\large\boxed{\bold{\red\pi\red=\red3\red.\red1\red4}}[/tex]
In this question the radius is given so we'll simply have to substitute and solve.
Let's solve!
Instead of π we are asked to use 3.14
Substitute the values according to the formula.
[tex]V= \frac{4}{3}\times 3.14 \times {10}^{3}[/tex]
Calculator value:
[tex]\bold{V= 4186.666667 \: {mm}^{3}}[/tex]
Now, we have to round off to the nearest hundredth.
The value in the thousandths place is greater than 5 so we'll have to round up by adding 1 to the hundredths place.
Final answer:
[tex]\large\boxed{\bold{V= 4186.67 \: {mm}^{3}}}[/tex]
Hence, the volume of the given sphere is 4186.67 cubic millimeters.
