If the radius of a sphere is increased by 12 percent, then the volume will be increased by approximately:
Show answer & explanation
Correct answer: C
Explanation
The correct answer is option 3 i.e. 40.49 percent.
Let the radius of the sphere be 25x
Increased radius = 112% of 25x = 28x
We know,
Volume of sphere = (4/3)πr3
Where r is the radius of the sphere
Now,
Initial volume = (4/3) × π × (15625)
New volume = (4/3) × π × (21952)
Required percentage increase = [(New volume - initial volume)/Initial volume] × 100
⇒ (6327/15625) × 100 = 40.49 %