Question

What is the volume of a hemisphere with a diameter of 3.8 m, rounded to the nearest tenth of a cubic meter?

Answer 1

The formula for the volume of a sphere is:

`V=(4\pi r³)/(3)`

Diameter is twice the radius, so:

r = 3.8/2 = 1.9m

So, the volume of the hemisphere is half the volume of a sphere, hence:

`\begin{gathered} V=((4*3.14*(1.9)³)/(3))/(2) \\ V=14.358 \end{gathered}`

The volume is 14.4m³, rounded to the nearest tenth.