Question

The volume of sphere (v) varies as the cube of its radius (r).
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Answer 1

Step-by-step explanation:

Let,

• The radius = r

The volume of given sphere = 36π cm³

The volume of each sphere =

$v = 4\pi \frac{ {r}^{3} }{3}$

Now,

• Equate the above two volumes

→ 36π = 4π r³/3

• Multiply with 3 on both sides

→ r² = 27

→ r = √27

→ r = 3 cm³