If the circumference of a base of a hemisphere is 2 pie then it's volume is ---' cm3
To calculate the volume of a hemisphere, you need to know the circumference of the base. In this case, you are given that the circumference of the base is 2π.
The formula for the volume of a hemisphere is:
V = (2/3)πr³
To find the radius, you need to use the formula for the circumference of a circle:
C = 2πr
Given that the circumference is 2π, you can set up an equation:
2π = 2πr
Dividing both sides by 2π, you find that:
r = 1
Now, substitute the value of the radius (r = 1) into the formula for the volume of a hemisphere:
V = (2/3)π(1)³
Simplifying further:
V = (2/3)π
Therefore, the volume of the hemisphere is (2/3)π cm³.