Practicing Success

Target Exam

CUET

Subject

General Test

Chapter

Quantitative Reasoning

Topic

Mensuration: 3D

Question:

A metallic sphere of diameter 40 cm is melted into smaller spheres of radius 0.5 cm. How many such small balls can be made?

Options:

32,000

3,200

64,000

6,400

Correct Answer:

64,000

Explanation:

We have a direct concept =

Number of smaller sphere = (\(\frac{ radius \; of \; bigger \; sphere }{ radius \;  of \; smaller \; sphere }\))3 

= (\(\frac{20}{0.5}\))3 = 403 = 64,000