Final answer:
By comparing the volume of a large laddoo with a radius of 5 cm to the volume of smaller laddoos with a radius of 2.5 cm, it can be determined that 8 smaller laddoos can be made from the same amount of material. so, option b is the correct answer.
Step-by-step explanation:
To determine how many laddoos of radius 2.5 cm can be made from the same material as one laddoo of radius 5 cm, we can use the formula for the volume of a sphere, which is V = ¾πr³. By setting up a ratio of the volumes, we find that the number of smaller laddoos that can be made is the cube of the ratio of the radii.
The volume of the larger laddoo is V_large = ¾π(5 cm)³. The volume of a smaller laddoo is V_small = ¾π(2.5 cm)³. The ratio of their volumes is (5 cm / 2.5 cm)³ = 2³ = 8. Therefore, you can make 8 smaller laddoos from the same amount of material as one large laddoo of radius 5 cm.
The correct answer is: b. 8