B. True: volume of the yogurt is more than the volume of the cone
To calculate the volume of the yogurt, we need to find the volume of a sphere with a diameter of 5 cm:
V = (4/3)πr^3
V = (4/3)π(2.5)^3
V ≈ 65.45 cm^3
To calculate the volume of the cone, we need to find the volume of a cone with a height of 11 cm and a radius of 2.5 cm:
V = (1/3)πr^2h
V = (1/3)π(2.5)^2(11)
V ≈ 57.72 cm^3
Since the volume of the yogurt is greater than the volume of the cone, it is true that the yogurt would not fill up the inside of the cone if pushed down.
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. which the cone has a height of 11 cm
A. True: volume of the yogurt is less than the volume of the cone
B. True: volume of the yogurt is more than the volume of the cone
C. False: volume of the cone is more than the volume of the yogurt
D. False: volume of the cone is less than the volume of the yogurt
1 answer