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

Solution:

Given, a shopkeeper has one spherical laddoo of radius 5 cm

We have to find the number of small laddoos of radius 2.5 cm can be made from the same amount of spherical laddoo.

Volume of sphere = 4/3 πr³

Where, r is the radius of sphere

Volume of spherical laddoo of radius 5 cm = 4/3 π(5)³

= 4/3 π(125) cm³

Volume of one small ladoo of radius 2.5 cm = 4/3 π(2.5)³

= 4/3 π(15.625) cm³

Number of laddoos = volume of spherical laddoo / volume of small laddoo

= 4/3 π(125) / 4/3 π(15.625)

= 125 / 15.625

= 8

Therefore, the number of laddoos is 8

✦ Try This: A shopkeeper has one spherical laddoo of radius 10 cm. With the same amount of material, how many laddoos of radius 2 cm can be made?

☛ Also Check: NCERT Solutions for Class 9 Maths Chapter 13

NCERT Exemplar Class 9 Maths Exercise 13.3 Problem 9

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

Summary:

A shopkeeper has one spherical laddoo of radius 5 cm. With the same amount of material, 8 laddoos of radius 2.5 cm can be made

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