A scoop of ice cream shape like a sphere with a diameter of 6 cm is placed on an ice cream cone the has a diameter of 5 cm and a height of 9 cm, show that the cone is or is not big enough to hold all of the ice cream when it melts ?

Question

A scoop of ice cream shape like a sphere with a diameter of 6 cm is placed on an ice cream cone the has a diameter of 5 cm and a height of 9 cm, show that the cone is or is not big enough to hold all of the ice cream when it melts ? 
Answer- I said the cone is too small because is volume is smaller than the surface area of the sphere am I correct?

math · Accepted Answer

A spherical scoop of ice cream is placed on a waffle cone. The diameter of the ice cream scoop is 6.4 centimeters. The waffle cone has a diameter of 5 centimeters and a height of 9 centimeters. If all the ice cream melts before you eat any, how much of the melted ice cream will overflow the waffle cone?

Steve · Answer

why would you compare volume to surface area? The volumes are scoop: pi/6 * 6^3 = 113.1 cm^3 cone: pi/12 * 5^2 * 9 = 58.90 cm^3 the cone is too small, but because the volumes compare so.