If Bill gets a full scoop of frozen yogurt in a cone, with the scoop being a perfect sphere with a diameter of 5 cm, then the yogurt would NOT fill up the inside of the cone if you pushed it down into the cone. (2 points) Responses False:%C2%A0 volume of the cone is more than the volume of the yogurt False:%C2%A0 volume of the cone is more than the volume of the yogurt True:%C2%A0 volume of the yogurt is more than the volume of the cone True:%C2%A0 volume of the yogurt is more than the volume of the cone True:%C2%A0 volume of the yogurt is less than the volume of the cone True:%C2%A0 volume of the yogurt is less than the volume of the cone False:%C2%A0 volume of the cone is less than the volume of the yogurt False:%C2%A0 volume of the cone is less than the volume of the yogurt Skip to navigation

Question

If Bill gets a full scoop of frozen yogurt in a cone, with the scoop being a perfect sphere with a diameter of 5 cm, then the yogurt would NOT fill up the inside of the cone if you pushed it down into the cone.    (2 points) Responses  False:%C2%A0 volume of the cone is more than the volume of the yogurt False:%C2%A0 volume of the cone is more than the volume of the yogurt  True:%C2%A0 volume of the yogurt is more than the volume of the cone True:%C2%A0 volume of the yogurt is more than the volume of the cone  True:%C2%A0 volume of the yogurt is less than the volume of the cone True:%C2%A0 volume of the yogurt is less than the volume of the cone  False:%C2%A0 volume of the cone is less than the volume of the yogurt False:%C2%A0 volume of the cone is less than the volume of the yogurt Skip to navigation

Bot GPT 3.5 · Answer

True: volume of the yogurt is more than the volume of the cone Since the scoop of frozen yogurt is a perfect sphere with a diameter of 5 cm, its volume can be calculated using the formula V = 4/3 π r^3, where r is the radius of the sphere. In this case, the radius would be 2.5 cm. Calculating the volume of the yogurt: V = 4/3 * π * 2.5^3 V ≈ 65.45 cm^3 The cone would have a smaller volume compared to the yogurt, especially if you pushed the sphere down into it. Therefore, the volume of the yogurt is more than the volume of the cone.