Question

If the radius of the sphere is 2r , then find its volume ?

Answer 1

v = 4/3 pie r^3
v= 4/3×22/7×(2r)^3
v=176r^3/21 unit cube

Answer 2

The volume of the sphere is $\frac{704}{21} \times r^{3}$ .

Step-by-step explanation:

We are given that the radius of the sphere is 2r and we have to find its volume.

As we know that the volume of a sphere is given by the following formula;

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

Here, r = radius of the sphere

Now, it is stated that the radius of the sphere is 2r, i.e;

So, the volume of the sphere =  $\frac{4}{3}\pi \times (2r)^{3}$

                                                 =  $\frac{4}{3}\pi \times 8r^{3}$

                                                 =  $\frac{4}{3}\times \frac{22}{7} \times 8r^{3}$

                                                 =  $\frac{704}{21} \times r^{3}$

Hence, the volume of the sphere is $\frac{704}{21} \times r^{3}$ .