A lead cuboid has dimensions of cm, cm, and cm. If the cuboid is melted to form a sphere, find its radius.
Step 1: Find the volume of the cuboid.
Use the formula for the volume of a cuboid.
Step 2: Find the radius of the sphere.
Use the formula for the volume of a sphere, and solve the radius .
Since the same amount of lead is used for the sphere and the cuboid, we know that the sphere's volume is also .