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

3 meters

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 =
`(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=(4)/(3)\pi r^3\\\\ r^2=(r^3)/(3)\\\\(r^3)/(r^2)=3\\\\`

r = 3 meters