For the original cone: V = pi*h*r^2 = x The upper half of the cone has half the height and half the radius of the original cone of volume x, so its volume is calculated as: V = pi*(h/2)*(r/2)^2 = (1/8)*pi*h*r^2 = x/8
Therefore the volume of the other piece (the frustum) is x - (x/8) = 7x/8 cubic centimeters.
Last week he bought three apples for $3.90. The cost of an apple = 3.9/3 = 1.3 This week he bought 2 more apples which totals 5 for $6.50 The cost of each apple = 6.5/5 = 1.3. The cost of an apple in the two weeks is the same. Arnold bought more apples in the following week but there was a corresponding raise in price. When he bought fewer apples last week he never had to pay as much as he did the year later