A soap company changes the design of its soap from a cone to a sphere. The cone had a height of 3cm and a radius of 2cm . The sphere has a diameter of 3cm. How much more soap, in cubic centimeters, does the new design contain than the old design?
Vcone = (1/3)pi(2cm)^2(3cm) = 12.566cm^3
Vsphere= (4/3)pi(1.5)^3 = 14.137cm^3
(14.137 - 12.566)cm^3 ≈ 1.571 cm^3