Target Exam

CUET

Subject

General Test

Chapter

Quantitative Reasoning

Topic

Mensuration: 3D

Question:

The volume of a right circular cone is 3080 cm3. If the radius of its base is 7 cm, then what is the height of the cone? [Use π = $\frac{22}{7}$]

Options:

60 cm

80 cm

120 cm

90 cm

Correct Answer:

60 cm

Explanation:

We know that,

Volume of cone = \(\frac{1}{3}\) πr2h

We have,

The volume of a right circular cone = 3080 cm3

The radius of its base = 7 cm

Now,

\(\frac{1}{3}\) πr2h = 3080

 \(\frac{22}{7}\) × (7)2 × h = 3080 × 3

h = 60 cm