The radius of an orange is 4 cm, and the thickness of the peel is 1 cm. Which part is larger: edible or inedible?

Let R = 4 cm – the radius of the orange with the peel;
r = 4 – 1 = 3 cm is the radius of the edible part;
1) The volume of the whole orange with the peel:
V1 = 4nR ^ 3/3 = (4 3.14 64) / 3 = 267.95 cc;
2) The volume of the edible part:
V2 = 4pr ^ 3/3 = (4 3.14 27) / 3 = 113.04 cc;
3) The volume of the inedible part:
V3 = V1 – V2 = 267.95 – 113.04 = 154.91 cc
V3 = 154.91> V2 = 113.04;
Answer: The volume of the inedible portion is greater than the edible portion.