The area of the base of a solid cone is

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Target Exam

CUET

Subject

General Test

Chapter

Quantitative Reasoning

Topic

Mensuration: 3D

Question:

The area of the base of a solid cone is 616 cm². If the height of the cone is 15 cm, then what is the volume of this cone?

Options:

2940 cm³

3440 cm³

3190 cm³

3080 cm³

Correct Answer:

3080 cm³

Explanation:

We know that,

Volume of cone = \(\frac{1}{3}\) × (area of base) × (height)

We have,

Area of base = 616 cm²

Height of cone = 15 cm

Volume of cone = \(\frac{1}{3}\) × 616 × 15 = 616 × 5 = 3080 cm³