Question

What is the volume of a hemisphere with a radius of 2.3m round to the nearest tenth of a cubic meter

Answer 1

Answer:
`25.5 m^(3)`

Explanation:

If the volume of a sphere is

`V=(4)/(3) \pi r^(3)`

Where
`r=2.3 m` is the radius

The volume of a hemisphere is half the volume of the total sphere:

`V_(hemisphere)=(V)/(2)=((4)/(3) \pi r^(3))/(2)`

`V_(hemisphere)=(2)/(3) \pi r^(3)`

Solving this equation:

`V_(hemisphere)=(2)/(3) \pi (2.3 m)^(3)`

Finally:

`V_(hemisphere)=25.48m^(3) \approx 25.5 m^(3)`