Answer:
2,225?
Step-by-step explanation:
im not sure if this is correct but this is what i understand:
the equation to find the volume of a sphere is:
V = [tex]\frac{4}{3}[/tex]πr³
radius part: 8.1³ = 531.441
[tex]\frac{4}{3}[/tex] times 3.14 = [tex]\frac{12.56}{3}[/tex]
12.56 x 531.441 = 6,674.89896
6,674.89896 / 3 ≈ 2,225
Answer:
2225.0 mm³
Step-by-step explanation:
To calculate the sphere's volume, we can use the formula for the volume of a sphere:
[tex]\boxed{\begin{array}{l}\underline{\textsf{Volume of a Sphere}}\\\\V=\dfrac{4}{3}\pi r^3\\\\\textsf{where:}\\ \phantom{ww}\bullet\;\textsf{$V$ is the volume.}\\\phantom{ww}\bullet\;\textsf{$r$ is the radius.}\end{array}}[/tex]
In this case:
Substitute the given values into the formula and solve for V:
[tex]V=\dfrac{4}{3} \cdot 3.14 \cdot 8.1^3\\\\\\V=\dfrac{4}{3} \cdot 3.14 \cdot 531.441\\\\\\V=\dfrac{4}{3} \cdot 1668.72474\\\\\\V=\dfrac{6674.89896}{3}\\\\\\V=2224.96632\\\\\\V=2225.0\; \sf mm^3\;(nearest\;tenth)[/tex]
Therefore, the volume of a sphere with radius 8.1 mm, rounded to the nearest tenth, is:
[tex]\LARGE\boxed{\boxed{2225.0\; \sf mm^3}}[/tex]
