One laddoo with a radius of 5 cm belongs to a shopkeeper. How many laddoos of radius 2.5 cm may be created from the same one laddoo?
Show answer & explanation
Correct answer: A
Explanation
The correct answer is option 1 i.e. 8.
The volume of a sphere is given by the formula:
(4/3) × π × r
where r is the radius of the sphere.
Substituting the values, we get:
volume of original laddoo = (4/3) × (22/7) × 5 = 523.81 cm
Using the same formula, we can calculate the volume of a smaller laddoo with a radius of 2.5 cm:
volume of smaller laddoo = (4/3)× (22/7) × 2.5 = 65.45 cm
To find out how many smaller laddoos can be made from the original laddoo, we need to divide the volume of the original laddoo by the volume of a smaller laddoo:
number of smaller laddoos = volume of original laddoo / volume of smaller laddoo
number of smaller laddoos = 523.81 cm / 65.45 cm
number of smaller laddoos ≈ 8
Therefore, the shopkeeper can create approximately 8 laddoos with a radius of 2.5 cm from the original laddoo.