Answer:
28043.3 [tex]m^{3}[/tex]
Step-by-step explanation:
Formula for volume of a hemisphere can be termed as:
[tex]V = \dfrac{2}{3} \pi r^{3}[/tex]
where [tex]r[/tex] is the radius of hemisphere
Please refer to the figure attached for the sample figure of a hemisphere.
We are given here, diameter of hemisphere = 47.5 m
Relation between diameter and radius is given as :
[tex]r = \dfrac{d}{2}[/tex]
where, [tex]r[/tex] is the radius and
[tex]d[/tex] is the diameter.
So, [tex]r = \dfrac{47.5}{2}\ m[/tex]
Volume is:
[tex]V = \dfrac{2}{3} \pi (\dfrac{47.5}{2})^3\\\Rightarrow \dfrac{2}{3} \times 3.14 \times (\dfrac{47.5}{2})^3\\\Rightarrow 28043.3\ m^3[/tex]
Hence, volume of given hemisphere is 28043.3 [tex]m^{3}[/tex].
