Practicing Success

Target Exam

CUET

Subject

General Test

Chapter

Quantitative Reasoning

Topic

Mensuration: 2D

Question:

How many balls of radius 45 cm can be made by melting a bigger ball of diameter 360 cm?

Options:

64

128

32

48

Correct Answer:

64

Explanation:

Diameter of bigger ball = 360

Then the radius = 180 = R

Radius of small ball = 45

Then the number of smaller balls that can be made from bigger ball = \(\frac{R^3}{r^3}\)

= \(\frac{180^3}{45^3}\)  = \(\frac{5832000}{91125}\) = 64