Math, asked by shivakubhai529, 2 months ago

the volume of the sphere is 729cm³. then it's radius is what?​

Answers

Answered by KINGSHREYANSH122
0

Answer:

Step-by-step explanation:

V=729cm^{3}

By using sphere volume formula,

Volume=\frac{4}{3}×πr²

729=\frac{4}{3}×πr²

\frac{729 * 3 * 7}{4 * 22} = r²

173.9659090909091=r²

r=\sqrt[2]{173.9659090909091}

r=13.18961368239832cm

OR

r=13.2cm

Answered by shaswat8080
0

Given that

Volume of the sphere is

729 {cm}^{3}

To find

Radius of sphere

Solution

Let

r as radius of sphere

v as volume of sphere

As we know that

volume \: of \: sphere =  \frac{4}{3} \pi \times  {r}^{3}

\pi =  \frac{22}{7}

hence

v =  \frac{4}{3}  \times  \frac{22}{7} \times  {r}^{3}

729 =  \frac{4}{3}  \times  \frac{22}{7}  \times  {r}^{ 3}

As by solving

729 = 4.19 \times  {r}^{3}

then divide 729 by 4.19 we get

 {r}^{3}  =  \frac{729}{4.19}  \\  =  173.48

as cube root of 173.48 we get

r = 5.57cm

Hence Radius of sphere is 5.57cm.

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