Answer:
The volume of the hemisphere
V = 121.33086 cubic centimeter
Step-by-step explanation:
Step(i):-
Given that the total surface area of a hemisphere = 45π cm²
The total surface area of a hemisphere = 3π r²
Equating
3π r² = 45π
[tex]r^{2} = \frac{45}{3} =15[/tex]
r = [tex]\sqrt{15} = 3.87[/tex]
The radius of the sphere 'r' = 3.87
Step(ii):-
The volume of the hemisphere
[tex]V = \frac{2}{3} \pi r^{3}[/tex]
[tex]V = \frac{2}{3} \pi (3.87)^{3}[/tex]
we know that π = 3.14
[tex]V = \frac{2}{3} (3.14) (3.87)^{3}[/tex]
V = 121.33086 cubic centimeter
