Question

The radius of a sphere whose volume is 12 π cubic cm is??​

Answer 1

Answer:

Mark me as a brainliest please......

Answer 2

Given:

The volume of a sphere = 12π $cm^{3}$

Let the radius of a sphere = r

To find, the radius of a sphere (r) = ?

Solution:

We know that,

The volume of a sphere = $\dfrac{4}{3} \pi r^3$

According to question,

∴ $\dfrac{4}{3} \pi r^3$ = 12π

⇒ $r^3$ = $\dfrac{12\times 3}{4}$

⇒ $r^3$ = $\dfrac{36}{4}$

⇒ $r^3$  = 9

⇒ $r^3$ = $3^2$

⇒ r = $(3^2)^{\dfrac{1}{3}}$

Using the identity,

$(a^m)^{n}=a^{mn}$

⇒ r = $3^{\dfrac{2}{3}} cm$

∴ The radius of a sphere (r) = $3^{\dfrac{2}{3}}$ cm

Thus, the radius of a sphere (r) = $3^{\dfrac{2}{3}}$ cm