Question

the radius of a sphere whose volume is 12 cm cube ,is

Answer 1

Answer: radius = 3m

Step-by-step explanation:

volume of a cube = 4/ 3 r cube

12 m cube = 4/3 r cube

12 * 3 /4 = r cube

36 / 4 = r cube

r cube = 9

therefore, r = cube root of nine

r = 3 m

Answer 2

Complete Question:

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

Given:

The volume of the sphere is 12 π cubic cm

To find:

The radius of the sphere

Solution:

The formula of the volume of a sphere is as follows:

$\boxed{\bold{Volume\:of\:sphere = \frac{4}{3}\pi r^3 }}$

Let "r cm" represents the radius of the given sphere.

The volume of the sphere is given as 12 π cubic cm.

Therefore, we get

$12\pi = \frac{4}{3}\pi r^3$

$\implies 12 = \frac{4}{3} r^3$

$\implies 3 = \frac{1}{3} r^3$

$\implies r^3 = 3 \times 3$

$\implies r = \sqrt[3]{3^2}$

$\implies r = (3^2)^(^\frac{1}{3} ^)$

using identity → $(a^m)^n = a^m^n$

$\implies \bold{ r = 3^\frac{2}{3}\:cm }$

Thus, the radius of the sphere is →  $\underline{ \bold{ 3^\frac{2}{3}\:cm }}$.

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