If the radius of a sphere is tripled, what is the ratio of the volume of the original sphere to that of the new sphere?
Show answer & explanation
Correct answer: B
Explanation
The correct answer is Option 2 i.e. 1 : 27.
Volume of a sphere = (4/3)πr³
If radius is tripled, new radius = 3r
New volume = (4/3)π(3r)³ = (4/3)π27r³ = 27 × original volume
Ratio of original volume to new volume = 1 : 27