Question

What is the volume of a sphere with a surface area of 25π yd2?

Answer 1

V=11.75 Thats the volume 

Answer 2

Answer:

The volume of sphere is:

                            65.4167 yd^3

Step-by-step explanation:

We are given surface area of sphere as:

$Area=25\pi\ \text{yd^2}$

We know that the surface area of sphere of radius ''r'' is given by the formula:

$Area=4\pi r^2$

i.e. we have:

$4\pi r^2=25\pi\\\\i.e.\\\\r^2=\dfrac{25}{4}\\\\\\r^2=(\ddfrac{5}{2})^2\\\\i.e.\\\\r=\pm \dfrac{5}{2}$

As we know that the radius of a circle can't be negative.

Hence,

$r=\dfrac{5}{2}\ \text{yd}$

Now the volume of sphere is given by:

$Volume=\dfrac{4}{3}\pi r^3\\\\i.e.\\\\Volume=\dfrac{4}{3}\pi (\dfrac{5}{2})^3\\\\i.e.\\\\Volume=65.4167\ \text{yd^3}$

                  Volume of sphere is:

                         65.4167 yd^3