Practicing Success

Target Exam

CUET

Subject

General Test

Chapter

Quantitative Reasoning

Topic

Mensuration: 3D

Question:

The base of a right circular cylinder has the same radius 'a' as that of a sphere. Both have the same volume, then the height of the cylinder is -

Options:

\(\frac{4}{3}\)a

4a

\(\frac{7}{4}\)a

3a

Correct Answer:

\(\frac{4}{3}\)a

Explanation:

                          Cylinder          Sphere

Ratio of radius           1        :         1     = (a)

Ratio of volume          1       :         1

 ⇒ \(\pi \) a2h : \(\frac{4}{3}\) \(\pi \) a3 =    1    :    1

 ⇒ h = \(\frac{4}{3}\)a