If the radius of a sphere is increased by I0 then the volume will be increased by ........

Quantitative Aptitude (CDS) Mensuration 3D

Download Solution PDF

If the radius of a sphere is increased by I0%, then the volume will be increased by

33.1%

30%

50%

10%

छोटे Courses बड़े Results

Master Mensuration 3D

Prepare through Micro-courses

Try Now

Explanation:

Let the radius of the sphere be r units.
Therefore, new radius of the sphere =r+10/100 x r=1.1r
Percentage increase in the volume of sphere=
$\left (\frac{\frac{4}{3}\pi(1.1r)^{3}-\frac{4}{3}\pi r^{3} }{\frac{4}{3}\pi r^{3}} \right )\times 100$
$\left ( \frac{1.331-1}{1} \right )\times 100=33.1\%$