A spherical scoop of vanilla icecream with radius of 2 inches is dropped onto the surface of a dish of hot chocolate sauce. As it melts, the icecream spreads out uniformly forming a cylindrical region 8 inches in radius. Assuming the density of the icecream remains constant, how many inches deep is the melted icecream? Express answer as a common fraction.

1 answer

volume of icecream = (4/3)π(2^3) = 32π/3 cubic inches

It forms into a cylinder whose radius is 8
let its height be h
π(8^2)h = 32π/3
h = 1/6 inches