Geometry (check my work)

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?

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  1. 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.

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  2. 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?

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