Question

If the diameter of the red marble is 3.0 cm, and by using the formula for volume, what is a good approximation of its volume? cm3 Determine the initial volume of water in the graduated cylinder. If you added the red marble to the graduated cylinder and it sinks, what final volume should the water level indicate?

Answer 1

The volume of sphere is calculated through the equation,

    V = 4πr³ / 3

Substituting the given radius of 1.5 cm (from the diameter of 3 cm),
   
   V = 4π(1.5 cm)³ / 3 = 9π / 2 cm³ or
    V = 14.14 cm³

(2) Since, we are not given with the initial volume of water, let us say that the volume is equal to 100 cm³, the addition of the marble with volume already calculated above will give a final volume of the water in the graduated cylinder become 114.14 cm³. This is the principle of water displacement.