Find the volume of a hemisphere with radius 12.

Sure, to find the volume of a hemisphere, you can use the formula for the volume of a sphere and then divide it by 2, because a hemisphere is half of a sphere.

The formula for the volume of a sphere is (4/3)πr³.

Step 1: Substitute the given radius, which is 12, into the formula.

V = (4/3)π(12)³

Step 2: Calculate the cube of the radius, which is 12³ = 1728.

V = (4/3)π(1728)

Step 3: Multiply the result by 4/3π.

V = 4/3π * 1728 = 2304π

Step 4: Since we are finding the volume of a hemisphere, we need to divide the result by 2.

V = 2304π / 2 = 1152π

So, the volume of the hemisphere with radius 12 is 1152π cubic units.