Question

The total surface area of a hemisphere is 45

`\pi\p`
CM square find its volume ​

Answer 1

The volume of the hemisphere

V = 121.33086 cubic centimeter

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) = (45)/(3) =15`

r =
`√(15) = 3.87`

The radius of the sphere 'r' = 3.87

Step(ii):-

The volume of the hemisphere

`V = (2)/(3) \pi r^(3)`

`V = (2)/(3) \pi (3.87)^(3)`

we know that π = 3.14

`V = (2)/(3) (3.14) (3.87)^(3)`

V = 121.33086 cubic centimeter