Find the volume V of the bead (Figure 17) in terms of r and R. Then show that V = π/6 h³, where h is the height of the bead. This formula has a surprising consequence: Since V can be expressed in terms of h alone, it follows that two beads of height 1 cm, one formed from a sphere the size of an orange and the other from a sphere the size of the earth, would have the same volume! Can you explain intuitively how this is possible?

Transcribed Image Text:

R h