Question

Question 9
A shopkeeper has one spherical laddu of radius 5 cm. With the same amount of material, how many laddoos of radius 2.5 cm can be made?

Answer 1

Given, radius of the spherical laddu, r = 5 cm

$\therefore$ Volume of a spherical laddu
$=\frac{4}{3}\pi r^3=\frac{4}{3}\pi (5{)}^3$
$=\frac{4}{3}\times 125\pi =\frac{500}{3}\pi c{m}^3$

Now, radius of small laddu = 2.5 cm
So, volume of small laddu $=\frac{4}{3}\pi \times (2.5{)}^3=\frac{62.5}{3}\pi c{m}^3$

$\therefore$ Number of laddoos $=\frac{Volumeofsphericalladdu}{Volumeofsmallladdu}=\frac{\frac{500\pi }{3}}{\frac{62.5\pi }{3}}=\frac{500}{62.5}=8$

Hence, the number of laddoos is 8.