Question

If the radius of the sphere is 2r then find its volume and surface area

Answer 1

Answer:

Volume of sphere = 4/3 π R*(3)

Here R = 2r

Volume of sphere = 4/3 π (2r)*3

Volume =( 4/3 )8π r*(3)

Volume of sphere = 32/3 π r*3

Answer 2

GIVEN:

The radius of the sphere($R$)=$2r$

TO FIND:

The volume and the surface area of the sphere

SOLUTION:

The volume of the sphere$=\frac{4}{3} \pi R^{3}$

where R is the radius of the sphere

The volume of the sphere$=\frac{4}{3} *\frac{22}{7} (2r)^{3}$

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

The volume of the sphere$=\frac{704}{21}r^{3}$

For the surface area of the sphere:

where R is the radius of the sphere

                            $=4\pi R^{2} \\=4\frac{22}{7}(2r)^{2} \\=\frac{352}{7}r^{2}$

HENCE, THE VOLUME OF THE SPHERE IS =$=\frac{704}{21}r^{3}$ AND THE SURFACE AREA OF THE $\frac{352}{7} r^{2}$

A sphere is a 3-dimensional structure which can be plotted in XYZ plain.

It is a symmetrical object, a distance between its center and its surface is its radius.