Practicing Success

Target Exam

CUET

Subject

General Test

Chapter

Quantitative Reasoning

Topic

Mensuration: 3D

Question:

How many spherical bullets can be made out of a lead cylinder 45 m height and the radius 36 cm, each bullet having 4.5 cm in diameter.

Options:

3,50,000

3,84,000

3,64,000

3,90,000

Correct Answer:

3,84,000

Explanation:

r = \(\frac{4.5}{2}\) = 2.25 cm

N × volume of sphere = volume of cylinder

N × \(\frac{4}{3}\)\(\pi \)r3 = \(\pi \)r2h

N × 4 × (2.25)3 = 3 × 36 × 36 × 4500

N = \(\frac{3 × 9 × 36 × 4500}{2.25 × 2.25 × 2.25}\) = 3,84,000