Answer:
the radius would have to be 3 for both the volume and the surface area to be the same
Step-by-step explanation:
The radius of the sphere will be 3 units.
We have a sphere whose surface area is equal to its volume.
We have to find the radius of this sphere.
The formula to calculate the surface area and volume of a sphere is -
S.A. - 4π[tex]r^{2}[/tex]
Volume - [tex]\frac{4}{3} \pi r^{3}[/tex]
According to the question -
The surface area of sphere is equal to its volume.
Therefore -
4π[tex]r^{2}[/tex] = [tex]\frac{4}{3} \pi r^{3}[/tex]
4π[tex]r^{2}[/tex] = 4π[tex]r^{2}[/tex] x [tex]\frac{r}{3}[/tex]
[tex]\frac{r}{3}[/tex] = 1
r = 3 units
Hence, the radius of the sphere will be 3 units.
To solve more questions on Spheres, visit the link below -
https://brainly.com/question/21623450
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