Practicing Success

Target Exam

CUET

Subject

General Test

Chapter

Quantitative Reasoning

Topic

Mensuration: 3D

Question:

A solid brass sphere of radius 15 cm is drawn into a wire of diameter 6 mm. The length (in cm) of the wire is:

Options:

50000

60000

55000

45000

Correct Answer:

50000

Explanation:

We know that,

Volume of sphere = \(\frac{4}{3}\) πr3

Radius of sphere = 15 cm

Diameter of wire = 6mm = 0.3 cm

Then the radius = 3mm

Volume of cylinder =  πr2l

\(\frac{4}{3}\) × π × 153 = π × 0.32 × l

l = 50000 cm