Target Exam

CUET

Subject

General Test

Chapter

Quantitative Reasoning

Topic

Mensuration: 3D

Question:

The volume of a cone is 27720 cm3. If the height of the cone is 20 cm, then what will be the area of the base?

Options:

4158 cm2

4272 cm2

4626 cm2

4836 cm2

Correct Answer:

4158 cm2

Explanation:

We know that,

Volume of a cone = \(\frac{1}{3}\)πr2h

Base area of a cone = πr2

We have,

The volume of a cone = 27720 cm3

The height of the cone = 20 cm

According to the question,

\(\frac{1}{3}\) πr2h = 27720

= \(\frac{1}{3}\)πr2 × 20 = 27720

= πr2 = 4158