Math, asked by davcspur, 6 months ago

The radius of the sphere is 2r.then find its volum​

Answers

Answered by EnchantedBoy
17

Answer:-

Given:-

  • Radius of the sphere = 2r

To find:-

  • The volume

Solution:-

Given that the radius of the sphere is '2r'

We know that the volume of a sphere with radius 'R' is given by the formula

\mapsto\sf Volume = \frac{4}{3}\pi R^{3}

Here \sf R = 2r

we can obtain the volume of the cube by putting the value of 'R' in this formula of the volume of a sphere mentioned above

Thus, putting the value of 'R' is in the formula we get,

\hookrightarrow\sf Volume = \frac{4}{3}\pi (2r)^{3}

\hookrightarrow\sf Volume = \frac{4}{3}(8r^{3})

\hookrightarrow\sf Volume = \frac{32}{3}\pi r^{3}

Therefore, the required volume of the sphere is \bf \frac{32}{3}\pi r^{3}

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