Given:
Given that the diameter of the hemisphere is 12.6 cm
The radius of the hemisphere is given by
[tex]r=\frac{d}{2}=\frac{12.6}{2}=6.3[/tex]
We need to determine the volume of the hemisphere.
Volume of the hemisphere:
Let us determine the volume of the hemisphere.
The volume of the hemisphere can be determined using the formula,
[tex]V=\frac{2}{3} \pi r^3[/tex]
Substituting the values, r = 6.3 and π = 3.14, we have;
[tex]V=\frac{2}{3} (3.14)(6.3)^3[/tex]
Simplifying the values, we have;
[tex]V=\frac{2}{3} (3.14)(250.047)[/tex]
[tex]V=\frac{1570.29516}{3}[/tex]
Dividing, we have;
[tex]V=523.43172[/tex]
Rounding off to the nearest tenth, we get;
[tex]V=523.4[/tex]
Thus, the volume of the hemisphere is 523.5 cm³
