Practicing Success

Target Exam

CUET

Subject

General Test

Chapter

Quantitative Reasoning

Topic

Mensuration: 3D

Question:

A solid metallic sphere of radius 15 cm is melted and recast into a cylinder of radius 10 cm. What is the height of this cylinder? - 

Options:

65 cm 

85 cm

50cm

45 cm

Correct Answer:

45 cm

Explanation:

Volume of the sphere = Volume of the cylinder 

   \(\frac{4}{3}\) \(\pi \) r₁³ = \(\pi \)r₂² h

   \(\frac{4}{3}\) x 15 x 15 x 15 =  10 x 10 x h

     h = 45 cm