Question

If the volume of the sphere is 4π/3 cm cube. find its surface.

Answer 1

Answer:

4π/3 r³=4π/3(4π/3 will be get cancelled)

r³=1

TSA of Sphere= 4πr²

= 4 multiply by 22/7 into 1

= 88/7

= 12.57 sq.cm

Answer 2

The surface area of the sphere is $4\pi cm^{2}$.

Here, according to the given information, we are given that,

The volume of a given sphere is $\frac{4\pi }{3} cm^{3}$.

Now, in order to find the surface of a sphere, we need to utilize the formula of the volume of the sphere, that is,

Volume of a sphere is equal to $\frac{4}{3} \pi r^{3}$, to find the magnitude of the radius of the sphere. Here, the radius of the sphere is represented as r.

Now, we are given that, the volume of a given sphere is $\frac{4\pi }{3} cm^{3}$.

Now, equating the given volume of the sphere with the formula of the volume of a sphere, we get,

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

Or, r = 1 cm.

This means that the radius of the given sphere is 1 cm.

Now, we know that the surface area of a sphere is $4\pi r^{2}$.

Now, putting the value of the radius of the given sphere in the above formula, we get,

$4\pi r^{2}$ = $4\pi 1^{2} = 4\pi$ $cm^{2}$.

Hence, the surface area of the sphere is $4\pi cm^{2}$.

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