Question

the radius of a sphere (in cm) whose volume is 12π cm3 is

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Answer 1

Answer:

• The radius of a sphere is 3 cm.

Step-by-step explanation:

Given that:

• Volume of a sphere is 12π cm³.

To Find:

• The radius of a sphere.

We know that:

• Volume of a sphere = 4πr³/3

Where,

• r = Radius of the sphere.

Finding the radius of a sphere:

⟿ 4πr³/3 = 12π

Cancelling π both sides.

⟿ 4r³/3 = 12

⟿ 4r³ = 12 × 3

⟿ 4r³ = 36

⟿ r³ = 36/4

⟿ r³ = 9

⟿ r³ = 3³

Cancelling power both sides.

⟿ r = 3

∴ The radius of a sphere = 3 cm

Answer 2

Required answer:–

✠ Given:–

$\bold\pink{Volume \: of \: sphere \: = \: 12 πcm {}^{3} }$

✠ To find:–

$\bold \pink{ \: Radius \: of \: sphere }$

✠ Formulas used:–

$\bold \pink{volume \: of \: sphere \: = \: \dfrac{ 4πr {}^{3}}{3}}$

✠ Step by step explaination:–

Calculating radius of sphere...

That is,

$\bold\pink{ \dfrac{4πr {}^{3} }{3}} \: = \bold\pink{12π}$

$\bold\pink{4r {}^{3} = 36}$

$\bold\pink{r {}^{3} = \dfrac{36}{4}}$

$\bold\pink{r {}^{3} = \dfrac{\cancel{36}}{\cancel4}}$

$\bold\pink{r {}^{3} = 9}$

$\bold\pink{r {}^{} = 3}$

✠ Answer:–

Radius of sphere is 3cm