Question

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

Answer 1

Radius of the sphere = 2.08

Explanation:

Given :-

Volume of the sphere = 12$\pi$$cm^{3}$  

Find : -

The radius of the sphere

Volume of the sphere = $\frac{4}{3}$$\pi$$r^{3}$

where ,

r = radius of the sphere

volume of the sphere = 12$\pi$

substitute the values in formula

Volume sphere = $\frac{4}{3}$$\pi$$r^{3}$

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

$\pi$ gets cancelled on both the sides

⇒ 12 = $\frac{4}{3} r^{3}$

⇒ $\frac{(12)(3)}{4}$ = $r^{3}$

⇒$\frac{36}{4}= r^{3}$

⇒ 9 = $r^{3}$

⇒$\sqrt[3]{9}$  = r

⇒ 2.08 = r

Hence the radius of the sphere = 2.08

Answer 2

The radius of a sphere is 2.08 cm.

Step-by-step explanation:

Volume of the sphere = 12π cm³

volume of sphere formula = $\frac{4}{3} \pi r^{3}$

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

Both π get canceled, we get

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

Multiply by $\frac{3}{4}$ on  both sides, we get

$\Rightarrow \frac{3}{4}\times \frac{4}{3} r^{3} = 12 \times \frac{3}{4}$

$\Rightarrow r^{3} = 3\times 3$

$\Rightarrow r^{3} = 9$

Taking cube root on both sides, we get

⇒ r = 2.08 cm

To learn more...

1. A round thali has 2 inbuilt triangular for serving vegetables and a separate semicircular area for keeping rice or chapati. If radius of the thali is 21 cm, find the area of the thali that is shaded in the figure.​

https://brainly.in/question/14322640

2. Find the area of the shaded region if PAST is square of side 14cm and ALS and PLT are semicircle

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