A solid metallic sphere of radius R is heated so that its radius increases by 10%. Find the approximate percentage increase in its volume.
Show answer & explanation
Correct answer: B
Explanation
given :
Increase in radius = 10%
According to the formula:
Volume of sphere = r³
New radius = 1.1R
New volume = (1.1)³= 1.331
Increase = 1.331 − 1 = 0.331
Percentage increase = 0.331 × 100 = 33.1%