Question

What is the volume of a hemisphere with a radius of 26.7 m, rounded to the nearest tenth of a cubic meter?

Answer 1

`39,865.1m^3`

Explanation:

a hemisphere is half a sphere.

And if the formula for the volume of a sphere is:

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

we must calculate the volume of the sphere and in the end divide by two to find the volume of the hemisphere.

Since the radius is:

`r=26.7m`

substituting this into the formula for volume:

`V=(4\pi (26.7m)^3)/(3) \\\\V=(4(3.1416)(19,034.163m^3))/(3) \\\\V=79,730.12m^3`

this is the volume of the total sphere, thus the volume of a hemisphere is:

`(V)/(2)=(79,730.12m^3)/(2)\\ =39,865.06m^3`

rounding to the nearest tenth:

`39,865.1m^3`