If the radius of a right circular cone is increased by p without increasing its height then what is ...........

Quantitative Aptitude (CDS) Mensuration 3D

If the radius of a right circular cone is increased by p% without increasing its height, then what is the percentage increase in the volume of the cone?

p²

2p²

p² / 100

p(2+p/100)

छोटे Courses बड़े Results

Master Mensuration 3D

Prepare through Micro-courses

Try Now

Explanation:

Volume of cone = $\small \frac{1}{3}\pi r^{2}h$ [As, r be radius h be height]
Increased radius = r (100+p) / 100
$\small Increased\:volume =\frac{1}{3}\pi [r(\frac{100+p}{100})] ^{2}h$
$\% \: change=\frac{\frac{1}{3}\pi [r(\frac{100+p}{100}) ]^{2}h}{\frac{1}{3}\pi r^{2}h}\times 100$
Further solving we get
% change = p ( 2 +p/100)