Target Exam

CUET

Subject

General Test

Chapter

Quantitative Reasoning

Topic

Mensuration: 3D

Question:

A solid metallic cone is melted and recast into a solid cylinder of same base as that of cone. If the height of the cylinder was 7 cm, the height of the cone is:

Options:

20 cm

21 cm

10 cm

12 cm

Correct Answer:

21 cm

Explanation:

Vol of cone = vol of cylinder

⇒ \(\frac{1}{3}\)\(\pi \) r2h = \(\pi \) r2H

⇒ \(\frac{1}{3}\)\(\pi \) r2h = \(\pi \) r2× 7

⇒ h = 21 cm.