As air is pumped into a spherical balloon, its radius increases from 7 cm to 14 cm. Find the ratio of volume of the balloon's in both circumstances.
Answer & explanation
Correct answer: option 3
Let, r = radius before pumping and,
R = radius after pumping air.
We know that,
= volume : VOLUME = r3 : R3
We have,
r : R = 7 : 14 = 1 : 2
According to the concept,
= v : V = r3 : R3 = 73 : 143
= 13 : 23 = 1 : 8