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

Question

asked Sep 1, 2021 234k views

1 Answer

Jubei · Answer 1 · 2021-09-06T02:59:30+0000

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:

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