Question

consider a sphere which area (in square meters) equal to its volume (in cubic meters) what is the radius (in meters) of this sphere

Answer 1

Answer:

3 meters

Step-by-step explanation:

A sphere is a three-dimensional geometrical object.

Let r denotes radius of a sphere.

Area of a sphere = $4 \pi r^2$

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

As a sphere which area (in square meters) is equal to its volume (in cubic meters) ,

$4\pi r^2=\frac{4}{3}\pi r^3\\\\ r^2=\frac{r^3}{3}\\\\\frac{r^3}{r^2}=3$

r = 3 meters