If the volume of a sphere is 972π cm3

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Target Exam

CUET

Subject

General Test

Chapter

Quantitative Reasoning

Topic

Mensuration: 3D

Question:

If the volume of a sphere is 972π cm³, then find its radius.

Options:

7 cm

6 cm

9 cm

8 cm

Correct Answer:

9 cm

Explanation:

We know that,

Volume of sphere = $\frac{4}{3}$ πr³

We have,

Volume of the sphere = 972π cm³

$\frac{4}{3}$ πr³ = 972π

= $\frac{4}{3}$r³ = 972

= r³ = 972 × ($\frac{3}{4}$)

= r³ = 729

= r = 9

So, radius = 9 cm