A shopkeeper usually makes one big besan laddoo (spherical in shape) with a radius of 9 cm. With the same laddoo, how many besan laddoos of radius 3 cm can be made? (Use a = )
Show answer & explanation
Correct answer: D
Explanation
The correct answer is Option 4 i.e. 27.
Let, the number of small besan laddoo be n
Volume of sphere = 4/3 πr3
here, r1 = radius = 9 [big besan laddoo]
Volume1 = 4/3 × 22/7 × 9 × 9 × 9 = 3054.85 cm3
The volume of small besan laddoo for r2 = 3
Volume2 = 4/3 × 22/7 × 3 × 3 × 3 = 113.14 cm3
⇒ n = Volume1/Volume2
⇒ n = 3054.85/113.14
⇒ n = 27