The volume of a spherical balloon with radius 3.1 cam is about 125 cm^3. Estimate the volume of a similar balloon with radius 6.2 cm.
250 cm^3
500 cm^3
750 cm^3
1,000 cm^3
Since the two balloons are similar, their volumes will be proportional to the cube of their radii. This means that the larger balloon will have a volume that is 2^3 = 8 times bigger than the smaller balloon.
So, if the smaller balloon has a volume of 125 cm^3, then the larger balloon will have a volume of:
125 cm^3 x 8 = 1000 cm^3
Therefore, the estimated volume of the similar balloon with radius 6.2 cm is 1000 cm^3. The answer is (D) 1,000 cm^3.