What is the volume of a hemisphere with a radius of 3 m?

To find the volume of a hemisphere, use the formula for the volume of a sphere, which is given by ( V = \frac{4}{3} \pi r^3 ). Since a hemisphere is half of a sphere, the formula for the volume of a hemisphere is:

[

V = \frac{2}{3} \pi r^3

]

Given the radius ( r = 3 ) m, you can calculate the volume as follows:

1. Calculate ( r^3 ):

( 3^3 = 27 )

2. Substitute the radius into the hemisphere volume formula:

[

V = \frac{2}{3} \pi (27)

]

3. Simplify:

[

V = \frac{54}{3} \pi = 18 \pi

]

4. Use the approximate value of ( \pi \approx 3.14159 ):

[

V \approx 18 \times 3.14159 \approx 56.548

]

This calculation shows that the volume of the hemisphere is approximately 56.55 m³. However, let's revisit