Question

The total surface area of a hemisphere is 45"\pi\p" align="absmiddle" class="latex-formula">
CM square find its volume ​

Answer 1

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

                   $r^{2} = \frac{45}{3} =15$

                    r = $\sqrt{15} = 3.87$

The radius of the sphere 'r' = 3.87

Step(ii):-

The volume of the hemisphere

                 $V = \frac{2}{3} \pi r^{3}$

                $V = \frac{2}{3} \pi (3.87)^{3}$

we know that   π = 3.14

                $V = \frac{2}{3} (3.14) (3.87)^{3}$

               V = 121.33086 cubic centimeter