Ask Question
22 May, 02:53

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

+1
Answers (1)
  1. 22 May, 03:20
    0
    1/6in

    Step-by-step explanation:

    In order to find the height of the melted ice-cream, first we need to find volue of a sphere then a cylinder and equate them.

    As we know, the volume of a sphere is defined as:

    V = (4/3) π·r³

    therefore, scoop has:

    V = (4/3) π· (2 in) ³ = > 32π/3 in³

    Next is to find the volume of a cylinder

    V = π·r²·h=> π· (8 in) ²·h

    Since the cylinder has the same volume as the sphere, we have

    32π/3 in³ = π· (8 in) ²·h (simplifying the equation)

    We have, h = (32π in³) / (3x64π in²) = 1/6 in

    Answer: h=1/6in
Know the Answer?
Not Sure About the Answer?
Find an answer to your question 👍 “A spherical scoop of vanilla ice cream with radius of 2 inches is dropped onto the surface of a dish of hot chocolate sauce. As it melts, ...” in 📗 Mathematics if the answers seem to be not correct or there’s no answer. Try a smart search to find answers to similar questions.
Search for Other Answers