Practicing Success

Target Exam

CUET

Subject

General Test

Chapter

Quantitative Reasoning

Topic

Mensuration: 3D

Question:

What is the volume of largest sphere which perfectly fits in a cylinder of radius 3.5 cm and height 12 cm?

Options:

169.33 cm³

175 cm³

179.66 cm³

187.5 cm³

Correct Answer:

179.66 cm³

Explanation:

Largest sphere that fits in the cylinder of dimensions 3.5 × 12 has equal radius to that of cylinder i. e. 3.5 cm

Volume = \(\frac{4}{3}\) \(\pi \)r3 = \(\frac{4}{3}\) × \(\frac{22}{7}\) × \(\frac{7}{2}\) × \(\frac{7}{2}\) × \(\frac{7}{2}\)

= 179.66 cm3