Question

A spoere has volume 36 cm", find the radius of the sphere?​

Answer 1

Answer:

Given :-

Volume of sphere = 36 cm²

To Find :-

Radius

Solution :-

We are knowing that

$\large \sf \: Volume = \frac{4}{3} \times \pi \: {r}^{3}$

$\sf \implies \: 36 = \dfrac{4}{3} \times \dfrac{22}{7} \times {r}^{3}$

$\sf \implies \: 36 = \dfrac{88}{21} \times {r}^{3}$

$\sf \implies \: 36 \times 21 = 88 \times {r}^{3}$

$\sf \implies \: 756 = 88 \times {r}^{3}$

$\sf \implies \: \dfrac{756}{88} = {r}^{3}$

$\sf \implies \: 8 \approx \: {r}^{3}$

$\sf \implies \: \sqrt[3]{8} = r$

${ \pink{ \fbox{2 = r}}}$

Answer 2

Answer:

Radius of the sphere is approximately equal to 2.93cm

Step-by-step explanation:

Question:

A sphere has volume 36 cm^3 , find the radius of the sphere

Given:

• Volume of the sphere = 36cm^3

To find:

• Radius of the sphere

Formula that we are going to use is:

V = 4/3 $\pi$ r^3

Solution:

Let us apply the formula now:

V = 4/3 $\pi$ r^3

36 = 4/3  $\pi$ r^3

r^3  $\pi$ = 36 $\times$ 3 / 4

r^3  $\pi$ = 27

r^3 = 27 $\times$ 7 / 22

r^3 = 8.59 [ Take Cube root ]

r is approximately equal to 2.93cm

Final Answer:

Radius of the sphere is approximately equal to 2.93cm