Practicing Success

Target Exam

CUET

Subject

-- Mathematics - Section B1

Chapter

Application of Integrals

Question:

A cylindrical vessel of diameter 4 cm is partly filled with water, 300 lead balls are dropped in it. The raise in water level is 0.8 cm. Find the diameter of each ball.

Options:

0.8 cm

0.4 cm

0.2 cm

0.6 cm

Correct Answer:

0.4 cm

Explanation:

Volume of 300 spherical balls = Volume of rise in water level

$⇒300×\frac{4}{3}×\frac{22}{7}×(\frac{d}{2})^3=\frac{22}{7}×2×2×\frac{4}{5}$

$⇒d=\frac{2}{3}=0.4cm$